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Finding the Third Proportional to 13,107 and 27,432

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Solution

The third proportional to 13,107 and 27,432 is: 57,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107 : 27,432 = 27,432 : x
  2. Step 2: Convert to fraction form
    13,107/27,432 = 27,432/x
  3. Step 3: Cross multiply
    13,107x = 27,432 × 27,432
  4. Step 4: Simplify right side
    13,107x = 752,514,624
  5. Step 5: Solve for x
    x = 752,514,624/13,107
  6. Step 6: Final answer
    x = 57,413.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.