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Finding the Third Proportional to 4,746 and 6,769

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Solution

The third proportional to 4,746 and 6,769 is: 9,654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746 : 6,769 = 6,769 : x
  2. Step 2: Convert to fraction form
    4,746/6,769 = 6,769/x
  3. Step 3: Cross multiply
    4,746x = 6,769 × 6,769
  4. Step 4: Simplify right side
    4,746x = 45,819,361
  5. Step 5: Solve for x
    x = 45,819,361/4,746
  6. Step 6: Final answer
    x = 9,654.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.