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Finding the Third Proportional to 4,429 and 6,761

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Solution

The third proportional to 4,429 and 6,761 is: 10,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,429 : 6,761 = 6,761 : x
  2. Step 2: Convert to fraction form
    4,429/6,761 = 6,761/x
  3. Step 3: Cross multiply
    4,429x = 6,761 × 6,761
  4. Step 4: Simplify right side
    4,429x = 45,711,121
  5. Step 5: Solve for x
    x = 45,711,121/4,429
  6. Step 6: Final answer
    x = 10,320.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.