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Finding the Third Proportional to 44,789 and 63,665

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Solution

The third proportional to 44,789 and 63,665 is: 90,496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,789 : 63,665 = 63,665 : x
  2. Step 2: Convert to fraction form
    44,789/63,665 = 63,665/x
  3. Step 3: Cross multiply
    44,789x = 63,665 × 63,665
  4. Step 4: Simplify right side
    44,789x = 4,053,232,225
  5. Step 5: Solve for x
    x = 4,053,232,225/44,789
  6. Step 6: Final answer
    x = 90,496.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.