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Finding the Third Proportional to 40,544 and 60,654

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Solution

The third proportional to 40,544 and 60,654 is: 90,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,544 : 60,654 = 60,654 : x
  2. Step 2: Convert to fraction form
    40,544/60,654 = 60,654/x
  3. Step 3: Cross multiply
    40,544x = 60,654 × 60,654
  4. Step 4: Simplify right side
    40,544x = 3,678,907,716
  5. Step 5: Solve for x
    x = 3,678,907,716/40,544
  6. Step 6: Final answer
    x = 90,738.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.