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Finding the Third Proportional to 15,975 and 28,422

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Solution

The third proportional to 15,975 and 28,422 is: 50,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,975 : 28,422 = 28,422 : x
  2. Step 2: Convert to fraction form
    15,975/28,422 = 28,422/x
  3. Step 3: Cross multiply
    15,975x = 28,422 × 28,422
  4. Step 4: Simplify right side
    15,975x = 807,810,084
  5. Step 5: Solve for x
    x = 807,810,084/15,975
  6. Step 6: Final answer
    x = 50,567.14

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.