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Finding the Third Proportional to 27,614 and 61,470

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Solution

The third proportional to 27,614 and 61,470 is: 136,834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614 : 61,470 = 61,470 : x
  2. Step 2: Convert to fraction form
    27,614/61,470 = 61,470/x
  3. Step 3: Cross multiply
    27,614x = 61,470 × 61,470
  4. Step 4: Simplify right side
    27,614x = 3,778,560,900
  5. Step 5: Solve for x
    x = 3,778,560,900/27,614
  6. Step 6: Final answer
    x = 136,834.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.