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Finding the Third Proportional to 3,768 and 4,062

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Solution

The third proportional to 3,768 and 4,062 is: 4,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768 : 4,062 = 4,062 : x
  2. Step 2: Convert to fraction form
    3,768/4,062 = 4,062/x
  3. Step 3: Cross multiply
    3,768x = 4,062 × 4,062
  4. Step 4: Simplify right side
    3,768x = 16,499,844
  5. Step 5: Solve for x
    x = 16,499,844/3,768
  6. Step 6: Final answer
    x = 4,378.94

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.