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Finding the Third Proportional to 38,572.50 and 58,746.38

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Solution

The third proportional to 38,572.50 and 58,746.38 is: 89,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,572.50 : 58,746.38 = 58,746.38 : x
  2. Step 2: Convert to fraction form
    38,572.50/58,746.38 = 58,746.38/x
  3. Step 3: Cross multiply
    38,572.50x = 58,746.38 × 58,746.38
  4. Step 4: Simplify right side
    38,572.50x = 3,451,136,575.64
  5. Step 5: Solve for x
    x = 3,451,136,575.64/38,572.50
  6. Step 6: Final answer
    x = 89,471.43

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.