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Finding the Third Proportional to 12,226 and 26,398

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Solution

The third proportional to 12,226 and 26,398 is: 56,997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226 : 26,398 = 26,398 : x
  2. Step 2: Convert to fraction form
    12,226/26,398 = 26,398/x
  3. Step 3: Cross multiply
    12,226x = 26,398 × 26,398
  4. Step 4: Simplify right side
    12,226x = 696,854,404
  5. Step 5: Solve for x
    x = 696,854,404/12,226
  6. Step 6: Final answer
    x = 56,997.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.