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Finding the Third Proportional to 15,889 and 24,380

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Solution

The third proportional to 15,889 and 24,380 is: 37,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889 : 24,380 = 24,380 : x
  2. Step 2: Convert to fraction form
    15,889/24,380 = 24,380/x
  3. Step 3: Cross multiply
    15,889x = 24,380 × 24,380
  4. Step 4: Simplify right side
    15,889x = 594,384,400
  5. Step 5: Solve for x
    x = 594,384,400/15,889
  6. Step 6: Final answer
    x = 37,408.55

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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.