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Finding the Third Proportional to 15,963 and 24,378

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Solution

The third proportional to 15,963 and 24,378 is: 37,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,963 : 24,378 = 24,378 : x
  2. Step 2: Convert to fraction form
    15,963/24,378 = 24,378/x
  3. Step 3: Cross multiply
    15,963x = 24,378 × 24,378
  4. Step 4: Simplify right side
    15,963x = 594,286,884
  5. Step 5: Solve for x
    x = 594,286,884/15,963
  6. Step 6: Final answer
    x = 37,229.02

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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.