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Finding the Third Proportional to 12,464 and 18,517

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Solution

The third proportional to 12,464 and 18,517 is: 27,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464 : 18,517 = 18,517 : x
  2. Step 2: Convert to fraction form
    12,464/18,517 = 18,517/x
  3. Step 3: Cross multiply
    12,464x = 18,517 × 18,517
  4. Step 4: Simplify right side
    12,464x = 342,879,289
  5. Step 5: Solve for x
    x = 342,879,289/12,464
  6. Step 6: Final answer
    x = 27,509.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.