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Finding the Third Proportional to 27,892 and 42,492

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Solution

The third proportional to 27,892 and 42,492 is: 64,734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892 : 42,492 = 42,492 : x
  2. Step 2: Convert to fraction form
    27,892/42,492 = 42,492/x
  3. Step 3: Cross multiply
    27,892x = 42,492 × 42,492
  4. Step 4: Simplify right side
    27,892x = 1,805,570,064
  5. Step 5: Solve for x
    x = 1,805,570,064/27,892
  6. Step 6: Final answer
    x = 64,734.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.