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Finding the Third Proportional to 27,866 and 56,452

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Solution

The third proportional to 27,866 and 56,452 is: 114,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,866 : 56,452 = 56,452 : x
  2. Step 2: Convert to fraction form
    27,866/56,452 = 56,452/x
  3. Step 3: Cross multiply
    27,866x = 56,452 × 56,452
  4. Step 4: Simplify right side
    27,866x = 3,186,828,304
  5. Step 5: Solve for x
    x = 3,186,828,304/27,866
  6. Step 6: Final answer
    x = 114,362.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.