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Finding the Third Proportional to 14,614.17 and 35,812.13

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Solution

The third proportional to 14,614.17 and 35,812.13 is: 87,757.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.17 : 35,812.13 = 35,812.13 : x
  2. Step 2: Convert to fraction form
    14,614.17/35,812.13 = 35,812.13/x
  3. Step 3: Cross multiply
    14,614.17x = 35,812.13 × 35,812.13
  4. Step 4: Simplify right side
    14,614.17x = 1,282,508,297.02
  5. Step 5: Solve for x
    x = 1,282,508,297.02/14,614.17
  6. Step 6: Final answer
    x = 87,757.85

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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.