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Finding the Third Proportional to 5,676 and 7,644

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Solution

The third proportional to 5,676 and 7,644 is: 10,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676 : 7,644 = 7,644 : x
  2. Step 2: Convert to fraction form
    5,676/7,644 = 7,644/x
  3. Step 3: Cross multiply
    5,676x = 7,644 × 7,644
  4. Step 4: Simplify right side
    5,676x = 58,430,736
  5. Step 5: Solve for x
    x = 58,430,736/5,676
  6. Step 6: Final answer
    x = 10,294.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.