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Finding the Third Proportional to 27,988 and 60,847

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Solution

The third proportional to 27,988 and 60,847 is: 132,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,988 : 60,847 = 60,847 : x
  2. Step 2: Convert to fraction form
    27,988/60,847 = 60,847/x
  3. Step 3: Cross multiply
    27,988x = 60,847 × 60,847
  4. Step 4: Simplify right side
    27,988x = 3,702,357,409
  5. Step 5: Solve for x
    x = 3,702,357,409/27,988
  6. Step 6: Final answer
    x = 132,283.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.