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Finding the Third Proportional to 40,459.50 and 44,691.75

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Solution

The third proportional to 40,459.50 and 44,691.75 is: 49,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,459.50 : 44,691.75 = 44,691.75 : x
  2. Step 2: Convert to fraction form
    40,459.50/44,691.75 = 44,691.75/x
  3. Step 3: Cross multiply
    40,459.50x = 44,691.75 × 44,691.75
  4. Step 4: Simplify right side
    40,459.50x = 1,997,352,518.06
  5. Step 5: Solve for x
    x = 1,997,352,518.06/40,459.50
  6. Step 6: Final answer
    x = 49,366.71

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.