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Finding the Third Proportional to 11,579 and 23,978

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Solution

The third proportional to 11,579 and 23,978 is: 49,654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,579 : 23,978 = 23,978 : x
  2. Step 2: Convert to fraction form
    11,579/23,978 = 23,978/x
  3. Step 3: Cross multiply
    11,579x = 23,978 × 23,978
  4. Step 4: Simplify right side
    11,579x = 574,944,484
  5. Step 5: Solve for x
    x = 574,944,484/11,579
  6. Step 6: Final answer
    x = 49,654.07

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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.