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Finding the Third Proportional to 25,468 and 38,249

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Solution

The third proportional to 25,468 and 38,249 is: 57,444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,468 : 38,249 = 38,249 : x
  2. Step 2: Convert to fraction form
    25,468/38,249 = 38,249/x
  3. Step 3: Cross multiply
    25,468x = 38,249 × 38,249
  4. Step 4: Simplify right side
    25,468x = 1,462,986,001
  5. Step 5: Solve for x
    x = 1,462,986,001/25,468
  6. Step 6: Final answer
    x = 57,444.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.