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Finding the Third Proportional to 2,182 and 4,765

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Solution

The third proportional to 2,182 and 4,765 is: 10,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182 : 4,765 = 4,765 : x
  2. Step 2: Convert to fraction form
    2,182/4,765 = 4,765/x
  3. Step 3: Cross multiply
    2,182x = 4,765 × 4,765
  4. Step 4: Simplify right side
    2,182x = 22,705,225
  5. Step 5: Solve for x
    x = 22,705,225/2,182
  6. Step 6: Final answer
    x = 10,405.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.