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Finding the Third Proportional to 27,506 and 41,331

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Solution

The third proportional to 27,506 and 41,331 is: 62,104.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,506 : 41,331 = 41,331 : x
  2. Step 2: Convert to fraction form
    27,506/41,331 = 41,331/x
  3. Step 3: Cross multiply
    27,506x = 41,331 × 41,331
  4. Step 4: Simplify right side
    27,506x = 1,708,251,561
  5. Step 5: Solve for x
    x = 1,708,251,561/27,506
  6. Step 6: Final answer
    x = 62,104.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.