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Finding the Third Proportional to 41,872 and 61,368

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Solution

The third proportional to 41,872 and 61,368 is: 89,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,872 : 61,368 = 61,368 : x
  2. Step 2: Convert to fraction form
    41,872/61,368 = 61,368/x
  3. Step 3: Cross multiply
    41,872x = 61,368 × 61,368
  4. Step 4: Simplify right side
    41,872x = 3,766,031,424
  5. Step 5: Solve for x
    x = 3,766,031,424/41,872
  6. Step 6: Final answer
    x = 89,941.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.