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Finding the Third Proportional to 41,772 and 62,328

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Solution

The third proportional to 41,772 and 62,328 is: 92,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,772 : 62,328 = 62,328 : x
  2. Step 2: Convert to fraction form
    41,772/62,328 = 62,328/x
  3. Step 3: Cross multiply
    41,772x = 62,328 × 62,328
  4. Step 4: Simplify right side
    41,772x = 3,884,779,584
  5. Step 5: Solve for x
    x = 3,884,779,584/41,772
  6. Step 6: Final answer
    x = 92,999.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.