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Finding the Third Proportional to 40,614.50 and 60,585

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Solution

The third proportional to 40,614.50 and 60,585 is: 90,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,614.50 : 60,585 = 60,585 : x
  2. Step 2: Convert to fraction form
    40,614.50/60,585 = 60,585/x
  3. Step 3: Cross multiply
    40,614.50x = 60,585 × 60,585
  4. Step 4: Simplify right side
    40,614.50x = 3,670,542,225
  5. Step 5: Solve for x
    x = 3,670,542,225/40,614.50
  6. Step 6: Final answer
    x = 90,375.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.