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Finding the Third Proportional to 22,579 and 25,873

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Solution

The third proportional to 22,579 and 25,873 is: 29,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,579 : 25,873 = 25,873 : x
  2. Step 2: Convert to fraction form
    22,579/25,873 = 25,873/x
  3. Step 3: Cross multiply
    22,579x = 25,873 × 25,873
  4. Step 4: Simplify right side
    22,579x = 669,412,129
  5. Step 5: Solve for x
    x = 669,412,129/22,579
  6. Step 6: Final answer
    x = 29,647.55

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.