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Finding the Third Proportional to 1,730 and 2,166

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Solution

The third proportional to 1,730 and 2,166 is: 2,711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730 : 2,166 = 2,166 : x
  2. Step 2: Convert to fraction form
    1,730/2,166 = 2,166/x
  3. Step 3: Cross multiply
    1,730x = 2,166 × 2,166
  4. Step 4: Simplify right side
    1,730x = 4,691,556
  5. Step 5: Solve for x
    x = 4,691,556/1,730
  6. Step 6: Final answer
    x = 2,711.88

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.