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Finding the Third Proportional to 41,484 and 89,592

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Solution

The third proportional to 41,484 and 89,592 is: 193,489.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,484 : 89,592 = 89,592 : x
  2. Step 2: Convert to fraction form
    41,484/89,592 = 89,592/x
  3. Step 3: Cross multiply
    41,484x = 89,592 × 89,592
  4. Step 4: Simplify right side
    41,484x = 8,026,726,464
  5. Step 5: Solve for x
    x = 8,026,726,464/41,484
  6. Step 6: Final answer
    x = 193,489.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.