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Finding the Third Proportional to 49,662 and 63,763

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Solution

The third proportional to 49,662 and 63,763 is: 81,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,662 : 63,763 = 63,763 : x
  2. Step 2: Convert to fraction form
    49,662/63,763 = 63,763/x
  3. Step 3: Cross multiply
    49,662x = 63,763 × 63,763
  4. Step 4: Simplify right side
    49,662x = 4,065,720,169
  5. Step 5: Solve for x
    x = 4,065,720,169/49,662
  6. Step 6: Final answer
    x = 81,867.83

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.