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Finding the Third Proportional to 12,296 and 26,677

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Solution

The third proportional to 12,296 and 26,677 is: 57,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296 : 26,677 = 26,677 : x
  2. Step 2: Convert to fraction form
    12,296/26,677 = 26,677/x
  3. Step 3: Cross multiply
    12,296x = 26,677 × 26,677
  4. Step 4: Simplify right side
    12,296x = 711,662,329
  5. Step 5: Solve for x
    x = 711,662,329/12,296
  6. Step 6: Final answer
    x = 57,877.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.