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Finding the Third Proportional to 15,291 and 31,566

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Solution

The third proportional to 15,291 and 31,566 is: 65,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,291 : 31,566 = 31,566 : x
  2. Step 2: Convert to fraction form
    15,291/31,566 = 31,566/x
  3. Step 3: Cross multiply
    15,291x = 31,566 × 31,566
  4. Step 4: Simplify right side
    15,291x = 996,412,356
  5. Step 5: Solve for x
    x = 996,412,356/15,291
  6. Step 6: Final answer
    x = 65,163.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.