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Finding the Third Proportional to 29,767.50 and 63,627.19

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Solution

The third proportional to 29,767.50 and 63,627.19 is: 136,001.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,767.50 : 63,627.19 = 63,627.19 : x
  2. Step 2: Convert to fraction form
    29,767.50/63,627.19 = 63,627.19/x
  3. Step 3: Cross multiply
    29,767.50x = 63,627.19 × 63,627.19
  4. Step 4: Simplify right side
    29,767.50x = 4,048,418,989.16
  5. Step 5: Solve for x
    x = 4,048,418,989.16/29,767.50
  6. Step 6: Final answer
    x = 136,001.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.