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Finding the Third Proportional to 20,892 and 49,300

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Solution

The third proportional to 20,892 and 49,300 is: 116,335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,892 : 49,300 = 49,300 : x
  2. Step 2: Convert to fraction form
    20,892/49,300 = 49,300/x
  3. Step 3: Cross multiply
    20,892x = 49,300 × 49,300
  4. Step 4: Simplify right side
    20,892x = 2,430,490,000
  5. Step 5: Solve for x
    x = 2,430,490,000/20,892
  6. Step 6: Final answer
    x = 116,335.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.