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Finding the Third Proportional to 12,197 and 26,294

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Solution

The third proportional to 12,197 and 26,294 is: 56,683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197 : 26,294 = 26,294 : x
  2. Step 2: Convert to fraction form
    12,197/26,294 = 26,294/x
  3. Step 3: Cross multiply
    12,197x = 26,294 × 26,294
  4. Step 4: Simplify right side
    12,197x = 691,374,436
  5. Step 5: Solve for x
    x = 691,374,436/12,197
  6. Step 6: Final answer
    x = 56,683.97

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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.