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Finding the Third Proportional to 40,986 and 61,479

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Solution

The third proportional to 40,986 and 61,479 is: 92,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,986 : 61,479 = 61,479 : x
  2. Step 2: Convert to fraction form
    40,986/61,479 = 61,479/x
  3. Step 3: Cross multiply
    40,986x = 61,479 × 61,479
  4. Step 4: Simplify right side
    40,986x = 3,779,667,441
  5. Step 5: Solve for x
    x = 3,779,667,441/40,986
  6. Step 6: Final answer
    x = 92,218.50

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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.