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Finding the Third Proportional to 4,040 and 7,669

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Solution

The third proportional to 4,040 and 7,669 is: 14,557.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,040 : 7,669 = 7,669 : x
  2. Step 2: Convert to fraction form
    4,040/7,669 = 7,669/x
  3. Step 3: Cross multiply
    4,040x = 7,669 × 7,669
  4. Step 4: Simplify right side
    4,040x = 58,813,561
  5. Step 5: Solve for x
    x = 58,813,561/4,040
  6. Step 6: Final answer
    x = 14,557.81

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.