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Finding the Third Proportional to 27,970 and 55,919

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Solution

The third proportional to 27,970 and 55,919 is: 111,796.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970 : 55,919 = 55,919 : x
  2. Step 2: Convert to fraction form
    27,970/55,919 = 55,919/x
  3. Step 3: Cross multiply
    27,970x = 55,919 × 55,919
  4. Step 4: Simplify right side
    27,970x = 3,126,934,561
  5. Step 5: Solve for x
    x = 3,126,934,561/27,970
  6. Step 6: Final answer
    x = 111,796.02

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.