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Finding the Third Proportional to 27,492 and 42,879

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Solution

The third proportional to 27,492 and 42,879 is: 66,877.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,492 : 42,879 = 42,879 : x
  2. Step 2: Convert to fraction form
    27,492/42,879 = 42,879/x
  3. Step 3: Cross multiply
    27,492x = 42,879 × 42,879
  4. Step 4: Simplify right side
    27,492x = 1,838,608,641
  5. Step 5: Solve for x
    x = 1,838,608,641/27,492
  6. Step 6: Final answer
    x = 66,877.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.