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Finding the Third Proportional to 27,295 and 41,671

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Solution

The third proportional to 27,295 and 41,671 is: 63,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,295 : 41,671 = 41,671 : x
  2. Step 2: Convert to fraction form
    27,295/41,671 = 41,671/x
  3. Step 3: Cross multiply
    27,295x = 41,671 × 41,671
  4. Step 4: Simplify right side
    27,295x = 1,736,472,241
  5. Step 5: Solve for x
    x = 1,736,472,241/27,295
  6. Step 6: Final answer
    x = 63,618.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.