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Finding the Third Proportional to 41,496 and 63,866

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Solution

The third proportional to 41,496 and 63,866 is: 98,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,496 : 63,866 = 63,866 : x
  2. Step 2: Convert to fraction form
    41,496/63,866 = 63,866/x
  3. Step 3: Cross multiply
    41,496x = 63,866 × 63,866
  4. Step 4: Simplify right side
    41,496x = 4,078,865,956
  5. Step 5: Solve for x
    x = 4,078,865,956/41,496
  6. Step 6: Final answer
    x = 98,295.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.