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Finding the Third Proportional to 27,812 and 59,674

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Solution

The third proportional to 27,812 and 59,674 is: 128,037.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,812 : 59,674 = 59,674 : x
  2. Step 2: Convert to fraction form
    27,812/59,674 = 59,674/x
  3. Step 3: Cross multiply
    27,812x = 59,674 × 59,674
  4. Step 4: Simplify right side
    27,812x = 3,560,986,276
  5. Step 5: Solve for x
    x = 3,560,986,276/27,812
  6. Step 6: Final answer
    x = 128,037.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.