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Finding the Third Proportional to 5,971 and 12,762

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Solution

The third proportional to 5,971 and 12,762 is: 27,276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971 : 12,762 = 12,762 : x
  2. Step 2: Convert to fraction form
    5,971/12,762 = 12,762/x
  3. Step 3: Cross multiply
    5,971x = 12,762 × 12,762
  4. Step 4: Simplify right side
    5,971x = 162,868,644
  5. Step 5: Solve for x
    x = 162,868,644/5,971
  6. Step 6: Final answer
    x = 27,276.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.