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Finding the Third Proportional to 9,714.09 and 20,119.22

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Solution

The third proportional to 9,714.09 and 20,119.22 is: 41,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.09 : 20,119.22 = 20,119.22 : x
  2. Step 2: Convert to fraction form
    9,714.09/20,119.22 = 20,119.22/x
  3. Step 3: Cross multiply
    9,714.09x = 20,119.22 × 20,119.22
  4. Step 4: Simplify right side
    9,714.09x = 404,782,963.11
  5. Step 5: Solve for x
    x = 404,782,963.11/9,714.09
  6. Step 6: Final answer
    x = 41,669.66

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.