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Finding the Third Proportional to 21,892 and 48,887

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Solution

The third proportional to 21,892 and 48,887 is: 109,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892 : 48,887 = 48,887 : x
  2. Step 2: Convert to fraction form
    21,892/48,887 = 48,887/x
  3. Step 3: Cross multiply
    21,892x = 48,887 × 48,887
  4. Step 4: Simplify right side
    21,892x = 2,389,938,769
  5. Step 5: Solve for x
    x = 2,389,938,769/21,892
  6. Step 6: Final answer
    x = 109,169.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.