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Finding the Third Proportional to 11,598 and 25,422

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Solution

The third proportional to 11,598 and 25,422 is: 55,723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598 : 25,422 = 25,422 : x
  2. Step 2: Convert to fraction form
    11,598/25,422 = 25,422/x
  3. Step 3: Cross multiply
    11,598x = 25,422 × 25,422
  4. Step 4: Simplify right side
    11,598x = 646,278,084
  5. Step 5: Solve for x
    x = 646,278,084/11,598
  6. Step 6: Final answer
    x = 55,723.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.