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Finding the Third Proportional to 27,154 and 39,759

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Solution

The third proportional to 27,154 and 39,759 is: 58,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,154 : 39,759 = 39,759 : x
  2. Step 2: Convert to fraction form
    27,154/39,759 = 39,759/x
  3. Step 3: Cross multiply
    27,154x = 39,759 × 39,759
  4. Step 4: Simplify right side
    27,154x = 1,580,778,081
  5. Step 5: Solve for x
    x = 1,580,778,081/27,154
  6. Step 6: Final answer
    x = 58,215.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.