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Finding the Third Proportional to 40,924.62 and 61,538.80

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Solution

The third proportional to 40,924.62 and 61,538.80 is: 92,536.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,924.62 : 61,538.80 = 61,538.80 : x
  2. Step 2: Convert to fraction form
    40,924.62/61,538.80 = 61,538.80/x
  3. Step 3: Cross multiply
    40,924.62x = 61,538.80 × 61,538.80
  4. Step 4: Simplify right side
    40,924.62x = 3,787,024,001.59
  5. Step 5: Solve for x
    x = 3,787,024,001.59/40,924.62
  6. Step 6: Final answer
    x = 92,536.58

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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.