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Finding the Third Proportional to 12,584 and 27,108

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Solution

The third proportional to 12,584 and 27,108 is: 58,395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584 : 27,108 = 27,108 : x
  2. Step 2: Convert to fraction form
    12,584/27,108 = 27,108/x
  3. Step 3: Cross multiply
    12,584x = 27,108 × 27,108
  4. Step 4: Simplify right side
    12,584x = 734,843,664
  5. Step 5: Solve for x
    x = 734,843,664/12,584
  6. Step 6: Final answer
    x = 58,395.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.