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Finding the Third Proportional to 21,978 and 48,092

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Solution

The third proportional to 21,978 and 48,092 is: 105,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978 : 48,092 = 48,092 : x
  2. Step 2: Convert to fraction form
    21,978/48,092 = 48,092/x
  3. Step 3: Cross multiply
    21,978x = 48,092 × 48,092
  4. Step 4: Simplify right side
    21,978x = 2,312,840,464
  5. Step 5: Solve for x
    x = 2,312,840,464/21,978
  6. Step 6: Final answer
    x = 105,234.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.