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Finding the Third Proportional to 40,233.75 and 59,118

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Solution

The third proportional to 40,233.75 and 59,118 is: 86,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,233.75 : 59,118 = 59,118 : x
  2. Step 2: Convert to fraction form
    40,233.75/59,118 = 59,118/x
  3. Step 3: Cross multiply
    40,233.75x = 59,118 × 59,118
  4. Step 4: Simplify right side
    40,233.75x = 3,494,937,924
  5. Step 5: Solve for x
    x = 3,494,937,924/40,233.75
  6. Step 6: Final answer
    x = 86,865.83

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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.