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Finding the Third Proportional to 41,668 and 64,535

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Solution

The third proportional to 41,668 and 64,535 is: 99,951.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,668 : 64,535 = 64,535 : x
  2. Step 2: Convert to fraction form
    41,668/64,535 = 64,535/x
  3. Step 3: Cross multiply
    41,668x = 64,535 × 64,535
  4. Step 4: Simplify right side
    41,668x = 4,164,766,225
  5. Step 5: Solve for x
    x = 4,164,766,225/41,668
  6. Step 6: Final answer
    x = 99,951.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.