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Finding the Third Proportional to 49,663 and 63,765

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Solution

The third proportional to 49,663 and 63,765 is: 81,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,663 : 63,765 = 63,765 : x
  2. Step 2: Convert to fraction form
    49,663/63,765 = 63,765/x
  3. Step 3: Cross multiply
    49,663x = 63,765 × 63,765
  4. Step 4: Simplify right side
    49,663x = 4,065,975,225
  5. Step 5: Solve for x
    x = 4,065,975,225/49,663
  6. Step 6: Final answer
    x = 81,871.32

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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.