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Finding the Third Proportional to 5,674 and 7,944

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Solution

The third proportional to 5,674 and 7,944 is: 11,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674 : 7,944 = 7,944 : x
  2. Step 2: Convert to fraction form
    5,674/7,944 = 7,944/x
  3. Step 3: Cross multiply
    5,674x = 7,944 × 7,944
  4. Step 4: Simplify right side
    5,674x = 63,107,136
  5. Step 5: Solve for x
    x = 63,107,136/5,674
  6. Step 6: Final answer
    x = 11,122.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.