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Finding the Third Proportional to 29,512.69 and 63,688.78

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Solution

The third proportional to 29,512.69 and 63,688.78 is: 137,441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,512.69 : 63,688.78 = 63,688.78 : x
  2. Step 2: Convert to fraction form
    29,512.69/63,688.78 = 63,688.78/x
  3. Step 3: Cross multiply
    29,512.69x = 63,688.78 × 63,688.78
  4. Step 4: Simplify right side
    29,512.69x = 4,056,260,857.11
  5. Step 5: Solve for x
    x = 4,056,260,857.11/29,512.69
  6. Step 6: Final answer
    x = 137,441.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.