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Finding the Third Proportional to 10,279.41 and 22,145.06

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Solution

The third proportional to 10,279.41 and 22,145.06 is: 47,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.41 : 22,145.06 = 22,145.06 : x
  2. Step 2: Convert to fraction form
    10,279.41/22,145.06 = 22,145.06/x
  3. Step 3: Cross multiply
    10,279.41x = 22,145.06 × 22,145.06
  4. Step 4: Simplify right side
    10,279.41x = 490,403,793.13
  5. Step 5: Solve for x
    x = 490,403,793.13/10,279.41
  6. Step 6: Final answer
    x = 47,707.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.