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Finding the Third Proportional to 12,287 and 26,367

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Solution

The third proportional to 12,287 and 26,367 is: 56,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287 : 26,367 = 26,367 : x
  2. Step 2: Convert to fraction form
    12,287/26,367 = 26,367/x
  3. Step 3: Cross multiply
    12,287x = 26,367 × 26,367
  4. Step 4: Simplify right side
    12,287x = 695,218,689
  5. Step 5: Solve for x
    x = 695,218,689/12,287
  6. Step 6: Final answer
    x = 56,581.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.