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Finding the Third Proportional to 4,162 and 4,762

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Solution

The third proportional to 4,162 and 4,762 is: 5,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162 : 4,762 = 4,762 : x
  2. Step 2: Convert to fraction form
    4,162/4,762 = 4,762/x
  3. Step 3: Cross multiply
    4,162x = 4,762 × 4,762
  4. Step 4: Simplify right side
    4,162x = 22,676,644
  5. Step 5: Solve for x
    x = 22,676,644/4,162
  6. Step 6: Final answer
    x = 5,448.50

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.