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Finding the Third Proportional to 27,848 and 60,074

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Solution

The third proportional to 27,848 and 60,074 is: 129,592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,848 : 60,074 = 60,074 : x
  2. Step 2: Convert to fraction form
    27,848/60,074 = 60,074/x
  3. Step 3: Cross multiply
    27,848x = 60,074 × 60,074
  4. Step 4: Simplify right side
    27,848x = 3,608,885,476
  5. Step 5: Solve for x
    x = 3,608,885,476/27,848
  6. Step 6: Final answer
    x = 129,592.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.