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Finding the Third Proportional to 41,766 and 63,972

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Solution

The third proportional to 41,766 and 63,972 is: 97,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,766 : 63,972 = 63,972 : x
  2. Step 2: Convert to fraction form
    41,766/63,972 = 63,972/x
  3. Step 3: Cross multiply
    41,766x = 63,972 × 63,972
  4. Step 4: Simplify right side
    41,766x = 4,092,416,784
  5. Step 5: Solve for x
    x = 4,092,416,784/41,766
  6. Step 6: Final answer
    x = 97,984.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.