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Finding the Third Proportional to 25,572 and 39,249

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Solution

The third proportional to 25,572 and 39,249 is: 60,241.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,572 : 39,249 = 39,249 : x
  2. Step 2: Convert to fraction form
    25,572/39,249 = 39,249/x
  3. Step 3: Cross multiply
    25,572x = 39,249 × 39,249
  4. Step 4: Simplify right side
    25,572x = 1,540,484,001
  5. Step 5: Solve for x
    x = 1,540,484,001/25,572
  6. Step 6: Final answer
    x = 60,241.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.