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Finding the Third Proportional to 12,196 and 26,718

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Solution

The third proportional to 12,196 and 26,718 is: 58,531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196 : 26,718 = 26,718 : x
  2. Step 2: Convert to fraction form
    12,196/26,718 = 26,718/x
  3. Step 3: Cross multiply
    12,196x = 26,718 × 26,718
  4. Step 4: Simplify right side
    12,196x = 713,851,524
  5. Step 5: Solve for x
    x = 713,851,524/12,196
  6. Step 6: Final answer
    x = 58,531.61

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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.