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Finding the Third Proportional to 40,005 and 61,958

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Solution

The third proportional to 40,005 and 61,958 is: 95,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,005 : 61,958 = 61,958 : x
  2. Step 2: Convert to fraction form
    40,005/61,958 = 61,958/x
  3. Step 3: Cross multiply
    40,005x = 61,958 × 61,958
  4. Step 4: Simplify right side
    40,005x = 3,838,793,764
  5. Step 5: Solve for x
    x = 3,838,793,764/40,005
  6. Step 6: Final answer
    x = 95,957.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.