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Finding the Third Proportional to 10,314 and 21,201.75

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Solution

The third proportional to 10,314 and 21,201.75 is: 43,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314 : 21,201.75 = 21,201.75 : x
  2. Step 2: Convert to fraction form
    10,314/21,201.75 = 21,201.75/x
  3. Step 3: Cross multiply
    10,314x = 21,201.75 × 21,201.75
  4. Step 4: Simplify right side
    10,314x = 449,514,203.06
  5. Step 5: Solve for x
    x = 449,514,203.06/10,314
  6. Step 6: Final answer
    x = 43,582.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.