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Finding the Third Proportional to 5,969 and 12,802

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Solution

The third proportional to 5,969 and 12,802 is: 27,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969 : 12,802 = 12,802 : x
  2. Step 2: Convert to fraction form
    5,969/12,802 = 12,802/x
  3. Step 3: Cross multiply
    5,969x = 12,802 × 12,802
  4. Step 4: Simplify right side
    5,969x = 163,891,204
  5. Step 5: Solve for x
    x = 163,891,204/5,969
  6. Step 6: Final answer
    x = 27,457.06

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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.