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Finding the Third Proportional to 12,985 and 27,266

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Solution

The third proportional to 12,985 and 27,266 is: 57,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985 : 27,266 = 27,266 : x
  2. Step 2: Convert to fraction form
    12,985/27,266 = 27,266/x
  3. Step 3: Cross multiply
    12,985x = 27,266 × 27,266
  4. Step 4: Simplify right side
    12,985x = 743,434,756
  5. Step 5: Solve for x
    x = 743,434,756/12,985
  6. Step 6: Final answer
    x = 57,253.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.