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Finding the Third Proportional to 41,164 and 62,634

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Solution

The third proportional to 41,164 and 62,634 is: 95,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,164 : 62,634 = 62,634 : x
  2. Step 2: Convert to fraction form
    41,164/62,634 = 62,634/x
  3. Step 3: Cross multiply
    41,164x = 62,634 × 62,634
  4. Step 4: Simplify right side
    41,164x = 3,923,017,956
  5. Step 5: Solve for x
    x = 3,923,017,956/41,164
  6. Step 6: Final answer
    x = 95,302.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.