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Finding the Third Proportional to 29,614.50 and 69,909.56

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Solution

The third proportional to 29,614.50 and 69,909.56 is: 165,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,614.50 : 69,909.56 = 69,909.56 : x
  2. Step 2: Convert to fraction form
    29,614.50/69,909.56 = 69,909.56/x
  3. Step 3: Cross multiply
    29,614.50x = 69,909.56 × 69,909.56
  4. Step 4: Simplify right side
    29,614.50x = 4,887,346,928.94
  5. Step 5: Solve for x
    x = 4,887,346,928.94/29,614.50
  6. Step 6: Final answer
    x = 165,032.23

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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.