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Finding the Third Proportional to 21,892 and 45,341

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Solution

The third proportional to 21,892 and 45,341 is: 93,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892 : 45,341 = 45,341 : x
  2. Step 2: Convert to fraction form
    21,892/45,341 = 45,341/x
  3. Step 3: Cross multiply
    21,892x = 45,341 × 45,341
  4. Step 4: Simplify right side
    21,892x = 2,055,806,281
  5. Step 5: Solve for x
    x = 2,055,806,281/21,892
  6. Step 6: Final answer
    x = 93,906.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.