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Finding the Third Proportional to 15,774 and 24,422

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Solution

The third proportional to 15,774 and 24,422 is: 37,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774 : 24,422 = 24,422 : x
  2. Step 2: Convert to fraction form
    15,774/24,422 = 24,422/x
  3. Step 3: Cross multiply
    15,774x = 24,422 × 24,422
  4. Step 4: Simplify right side
    15,774x = 596,434,084
  5. Step 5: Solve for x
    x = 596,434,084/15,774
  6. Step 6: Final answer
    x = 37,811.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.