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Finding the Third Proportional to 21,978 and 48,870

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Solution

The third proportional to 21,978 and 48,870 is: 108,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978 : 48,870 = 48,870 : x
  2. Step 2: Convert to fraction form
    21,978/48,870 = 48,870/x
  3. Step 3: Cross multiply
    21,978x = 48,870 × 48,870
  4. Step 4: Simplify right side
    21,978x = 2,388,276,900
  5. Step 5: Solve for x
    x = 2,388,276,900/21,978
  6. Step 6: Final answer
    x = 108,666.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.