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Finding the Third Proportional to 5,758 and 7,669

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Solution

The third proportional to 5,758 and 7,669 is: 10,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758 : 7,669 = 7,669 : x
  2. Step 2: Convert to fraction form
    5,758/7,669 = 7,669/x
  3. Step 3: Cross multiply
    5,758x = 7,669 × 7,669
  4. Step 4: Simplify right side
    5,758x = 58,813,561
  5. Step 5: Solve for x
    x = 58,813,561/5,758
  6. Step 6: Final answer
    x = 10,214.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.