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Finding the Third Proportional to 12,586 and 27,360

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Solution

The third proportional to 12,586 and 27,360 is: 59,476.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586 : 27,360 = 27,360 : x
  2. Step 2: Convert to fraction form
    12,586/27,360 = 27,360/x
  3. Step 3: Cross multiply
    12,586x = 27,360 × 27,360
  4. Step 4: Simplify right side
    12,586x = 748,569,600
  5. Step 5: Solve for x
    x = 748,569,600/12,586
  6. Step 6: Final answer
    x = 59,476.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.