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Finding the Third Proportional to 17,472.50 and 37,711

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Solution

The third proportional to 17,472.50 and 37,711 is: 81,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,472.50 : 37,711 = 37,711 : x
  2. Step 2: Convert to fraction form
    17,472.50/37,711 = 37,711/x
  3. Step 3: Cross multiply
    17,472.50x = 37,711 × 37,711
  4. Step 4: Simplify right side
    17,472.50x = 1,422,119,521
  5. Step 5: Solve for x
    x = 1,422,119,521/17,472.50
  6. Step 6: Final answer
    x = 81,391.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.