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Finding the Third Proportional to 29,401.13 and 64,432.13

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Solution

The third proportional to 29,401.13 and 64,432.13 is: 141,202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,401.13 : 64,432.13 = 64,432.13 : x
  2. Step 2: Convert to fraction form
    29,401.13/64,432.13 = 64,432.13/x
  3. Step 3: Cross multiply
    29,401.13x = 64,432.13 × 64,432.13
  4. Step 4: Simplify right side
    29,401.13x = 4,151,498,732.02
  5. Step 5: Solve for x
    x = 4,151,498,732.02/29,401.13
  6. Step 6: Final answer
    x = 141,202.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.