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Finding the Third Proportional to 5,674 and 8,764

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Solution

The third proportional to 5,674 and 8,764 is: 13,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674 : 8,764 = 8,764 : x
  2. Step 2: Convert to fraction form
    5,674/8,764 = 8,764/x
  3. Step 3: Cross multiply
    5,674x = 8,764 × 8,764
  4. Step 4: Simplify right side
    5,674x = 76,807,696
  5. Step 5: Solve for x
    x = 76,807,696/5,674
  6. Step 6: Final answer
    x = 13,536.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.