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Finding the Third Proportional to 40,543.50 and 59,772

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Solution

The third proportional to 40,543.50 and 59,772 is: 88,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,543.50 : 59,772 = 59,772 : x
  2. Step 2: Convert to fraction form
    40,543.50/59,772 = 59,772/x
  3. Step 3: Cross multiply
    40,543.50x = 59,772 × 59,772
  4. Step 4: Simplify right side
    40,543.50x = 3,572,691,984
  5. Step 5: Solve for x
    x = 3,572,691,984/40,543.50
  6. Step 6: Final answer
    x = 88,119.97

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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.