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Finding the Third Proportional to 2,768 and 3,230

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Solution

The third proportional to 2,768 and 3,230 is: 3,769.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768 : 3,230 = 3,230 : x
  2. Step 2: Convert to fraction form
    2,768/3,230 = 3,230/x
  3. Step 3: Cross multiply
    2,768x = 3,230 × 3,230
  4. Step 4: Simplify right side
    2,768x = 10,432,900
  5. Step 5: Solve for x
    x = 10,432,900/2,768
  6. Step 6: Final answer
    x = 3,769.11

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.