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Finding the Third Proportional to 40,614.50 and 59,337.50

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Solution

The third proportional to 40,614.50 and 59,337.50 is: 86,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,614.50 : 59,337.50 = 59,337.50 : x
  2. Step 2: Convert to fraction form
    40,614.50/59,337.50 = 59,337.50/x
  3. Step 3: Cross multiply
    40,614.50x = 59,337.50 × 59,337.50
  4. Step 4: Simplify right side
    40,614.50x = 3,520,938,906.25
  5. Step 5: Solve for x
    x = 3,520,938,906.25/40,614.50
  6. Step 6: Final answer
    x = 86,691.67

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.