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Finding the Third Proportional to 27,446 and 56,830

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Solution

The third proportional to 27,446 and 56,830 is: 117,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,446 : 56,830 = 56,830 : x
  2. Step 2: Convert to fraction form
    27,446/56,830 = 56,830/x
  3. Step 3: Cross multiply
    27,446x = 56,830 × 56,830
  4. Step 4: Simplify right side
    27,446x = 3,229,648,900
  5. Step 5: Solve for x
    x = 3,229,648,900/27,446
  6. Step 6: Final answer
    x = 117,672.84

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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.