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Finding the Third Proportional to 40,901 and 61,352

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Solution

The third proportional to 40,901 and 61,352 is: 92,028.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,901 : 61,352 = 61,352 : x
  2. Step 2: Convert to fraction form
    40,901/61,352 = 61,352/x
  3. Step 3: Cross multiply
    40,901x = 61,352 × 61,352
  4. Step 4: Simplify right side
    40,901x = 3,764,067,904
  5. Step 5: Solve for x
    x = 3,764,067,904/40,901
  6. Step 6: Final answer
    x = 92,028.75

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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.