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Finding the Third Proportional to 15,517 and 23,422

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Solution

The third proportional to 15,517 and 23,422 is: 35,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,517 : 23,422 = 23,422 : x
  2. Step 2: Convert to fraction form
    15,517/23,422 = 23,422/x
  3. Step 3: Cross multiply
    15,517x = 23,422 × 23,422
  4. Step 4: Simplify right side
    15,517x = 548,590,084
  5. Step 5: Solve for x
    x = 548,590,084/15,517
  6. Step 6: Final answer
    x = 35,354.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.