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Finding the Third Proportional to 27,979 and 42,238

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Solution

The third proportional to 27,979 and 42,238 is: 63,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,979 : 42,238 = 42,238 : x
  2. Step 2: Convert to fraction form
    27,979/42,238 = 42,238/x
  3. Step 3: Cross multiply
    27,979x = 42,238 × 42,238
  4. Step 4: Simplify right side
    27,979x = 1,784,048,644
  5. Step 5: Solve for x
    x = 1,784,048,644/27,979
  6. Step 6: Final answer
    x = 63,763.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.