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Finding the Third Proportional to 29,790 and 43,711.50

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Solution

The third proportional to 29,790 and 43,711.50 is: 64,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,790 : 43,711.50 = 43,711.50 : x
  2. Step 2: Convert to fraction form
    29,790/43,711.50 = 43,711.50/x
  3. Step 3: Cross multiply
    29,790x = 43,711.50 × 43,711.50
  4. Step 4: Simplify right side
    29,790x = 1,910,695,232.25
  5. Step 5: Solve for x
    x = 1,910,695,232.25/29,790
  6. Step 6: Final answer
    x = 64,138.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.