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Finding the Third Proportional to 27,940 and 60,506

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Solution

The third proportional to 27,940 and 60,506 is: 131,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,940 : 60,506 = 60,506 : x
  2. Step 2: Convert to fraction form
    27,940/60,506 = 60,506/x
  3. Step 3: Cross multiply
    27,940x = 60,506 × 60,506
  4. Step 4: Simplify right side
    27,940x = 3,660,976,036
  5. Step 5: Solve for x
    x = 3,660,976,036/27,940
  6. Step 6: Final answer
    x = 131,029.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.