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Finding the Third Proportional to 15,880 and 24,325

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Solution

The third proportional to 15,880 and 24,325 is: 37,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880 : 24,325 = 24,325 : x
  2. Step 2: Convert to fraction form
    15,880/24,325 = 24,325/x
  3. Step 3: Cross multiply
    15,880x = 24,325 × 24,325
  4. Step 4: Simplify right side
    15,880x = 591,705,625
  5. Step 5: Solve for x
    x = 591,705,625/15,880
  6. Step 6: Final answer
    x = 37,261.06

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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.