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Finding the Third Proportional to 29,614.56 and 69,909.81

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Solution

The third proportional to 29,614.56 and 69,909.81 is: 165,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,614.56 : 69,909.81 = 69,909.81 : x
  2. Step 2: Convert to fraction form
    29,614.56/69,909.81 = 69,909.81/x
  3. Step 3: Cross multiply
    29,614.56x = 69,909.81 × 69,909.81
  4. Step 4: Simplify right side
    29,614.56x = 4,887,381,883.79
  5. Step 5: Solve for x
    x = 4,887,381,883.79/29,614.56
  6. Step 6: Final answer
    x = 165,033.06

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.