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Finding the Third Proportional to 15,291 and 27,414

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Solution

The third proportional to 15,291 and 27,414 is: 49,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,291 : 27,414 = 27,414 : x
  2. Step 2: Convert to fraction form
    15,291/27,414 = 27,414/x
  3. Step 3: Cross multiply
    15,291x = 27,414 × 27,414
  4. Step 4: Simplify right side
    15,291x = 751,527,396
  5. Step 5: Solve for x
    x = 751,527,396/15,291
  6. Step 6: Final answer
    x = 49,148.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.