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Finding the Third Proportional to 4,769 and 6,867

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Solution

The third proportional to 4,769 and 6,867 is: 9,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769 : 6,867 = 6,867 : x
  2. Step 2: Convert to fraction form
    4,769/6,867 = 6,867/x
  3. Step 3: Cross multiply
    4,769x = 6,867 × 6,867
  4. Step 4: Simplify right side
    4,769x = 47,155,689
  5. Step 5: Solve for x
    x = 47,155,689/4,769
  6. Step 6: Final answer
    x = 9,887.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.