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Finding the Third Proportional to 25,532 and 38,325

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Solution

The third proportional to 25,532 and 38,325 is: 57,528.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,532 : 38,325 = 38,325 : x
  2. Step 2: Convert to fraction form
    25,532/38,325 = 38,325/x
  3. Step 3: Cross multiply
    25,532x = 38,325 × 38,325
  4. Step 4: Simplify right side
    25,532x = 1,468,805,625
  5. Step 5: Solve for x
    x = 1,468,805,625/25,532
  6. Step 6: Final answer
    x = 57,528.03

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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.