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Finding the Third Proportional to 40,854.50 and 61,261

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Solution

The third proportional to 40,854.50 and 61,261 is: 91,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,854.50 : 61,261 = 61,261 : x
  2. Step 2: Convert to fraction form
    40,854.50/61,261 = 61,261/x
  3. Step 3: Cross multiply
    40,854.50x = 61,261 × 61,261
  4. Step 4: Simplify right side
    40,854.50x = 3,752,910,121
  5. Step 5: Solve for x
    x = 3,752,910,121/40,854.50
  6. Step 6: Final answer
    x = 91,860.39

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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.