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Finding the Third Proportional to 27,463 and 56,870

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Solution

The third proportional to 27,463 and 56,870 is: 117,765.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,463 : 56,870 = 56,870 : x
  2. Step 2: Convert to fraction form
    27,463/56,870 = 56,870/x
  3. Step 3: Cross multiply
    27,463x = 56,870 × 56,870
  4. Step 4: Simplify right side
    27,463x = 3,234,196,900
  5. Step 5: Solve for x
    x = 3,234,196,900/27,463
  6. Step 6: Final answer
    x = 117,765.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.