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Finding the Third Proportional to 27,970 and 54,519

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Solution

The third proportional to 27,970 and 54,519 is: 106,268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970 : 54,519 = 54,519 : x
  2. Step 2: Convert to fraction form
    27,970/54,519 = 54,519/x
  3. Step 3: Cross multiply
    27,970x = 54,519 × 54,519
  4. Step 4: Simplify right side
    27,970x = 2,972,321,361
  5. Step 5: Solve for x
    x = 2,972,321,361/27,970
  6. Step 6: Final answer
    x = 106,268.19

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.