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Finding the Third Proportional to 49,657 and 63,759

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Solution

The third proportional to 49,657 and 63,759 is: 81,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,657 : 63,759 = 63,759 : x
  2. Step 2: Convert to fraction form
    49,657/63,759 = 63,759/x
  3. Step 3: Cross multiply
    49,657x = 63,759 × 63,759
  4. Step 4: Simplify right side
    49,657x = 4,065,210,081
  5. Step 5: Solve for x
    x = 4,065,210,081/49,657
  6. Step 6: Final answer
    x = 81,865.80

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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.