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Finding the Third Proportional to 27,462 and 44,217

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Solution

The third proportional to 27,462 and 44,217 is: 71,194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,462 : 44,217 = 44,217 : x
  2. Step 2: Convert to fraction form
    27,462/44,217 = 44,217/x
  3. Step 3: Cross multiply
    27,462x = 44,217 × 44,217
  4. Step 4: Simplify right side
    27,462x = 1,955,143,089
  5. Step 5: Solve for x
    x = 1,955,143,089/27,462
  6. Step 6: Final answer
    x = 71,194.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.