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Finding the Third Proportional to 25,890 and 37,579

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Solution

The third proportional to 25,890 and 37,579 is: 54,545.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,890 : 37,579 = 37,579 : x
  2. Step 2: Convert to fraction form
    25,890/37,579 = 37,579/x
  3. Step 3: Cross multiply
    25,890x = 37,579 × 37,579
  4. Step 4: Simplify right side
    25,890x = 1,412,181,241
  5. Step 5: Solve for x
    x = 1,412,181,241/25,890
  6. Step 6: Final answer
    x = 54,545.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.