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Finding the Third Proportional to 40,524 and 61,050

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Solution

The third proportional to 40,524 and 61,050 is: 91,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,524 : 61,050 = 61,050 : x
  2. Step 2: Convert to fraction form
    40,524/61,050 = 61,050/x
  3. Step 3: Cross multiply
    40,524x = 61,050 × 61,050
  4. Step 4: Simplify right side
    40,524x = 3,727,102,500
  5. Step 5: Solve for x
    x = 3,727,102,500/40,524
  6. Step 6: Final answer
    x = 91,972.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.