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Finding the Third Proportional to 27,388 and 41,379

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Solution

The third proportional to 27,388 and 41,379 is: 62,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,388 : 41,379 = 41,379 : x
  2. Step 2: Convert to fraction form
    27,388/41,379 = 41,379/x
  3. Step 3: Cross multiply
    27,388x = 41,379 × 41,379
  4. Step 4: Simplify right side
    27,388x = 1,712,221,641
  5. Step 5: Solve for x
    x = 1,712,221,641/27,388
  6. Step 6: Final answer
    x = 62,517.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.