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Finding the Third Proportional to 47,404.50 and 71,406

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Solution

The third proportional to 47,404.50 and 71,406 is: 107,559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,404.50 : 71,406 = 71,406 : x
  2. Step 2: Convert to fraction form
    47,404.50/71,406 = 71,406/x
  3. Step 3: Cross multiply
    47,404.50x = 71,406 × 71,406
  4. Step 4: Simplify right side
    47,404.50x = 5,098,816,836
  5. Step 5: Solve for x
    x = 5,098,816,836/47,404.50
  6. Step 6: Final answer
    x = 107,559.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.