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Finding the Third Proportional to 27,672 and 41,578

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Solution

The third proportional to 27,672 and 41,578 is: 62,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672 : 41,578 = 41,578 : x
  2. Step 2: Convert to fraction form
    27,672/41,578 = 41,578/x
  3. Step 3: Cross multiply
    27,672x = 41,578 × 41,578
  4. Step 4: Simplify right side
    27,672x = 1,728,730,084
  5. Step 5: Solve for x
    x = 1,728,730,084/27,672
  6. Step 6: Final answer
    x = 62,472.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.