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Finding the Third Proportional to 1,082.34 and 1,722.28

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Solution

The third proportional to 1,082.34 and 1,722.28 is: 2,740.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.34 : 1,722.28 = 1,722.28 : x
  2. Step 2: Convert to fraction form
    1,082.34/1,722.28 = 1,722.28/x
  3. Step 3: Cross multiply
    1,082.34x = 1,722.28 × 1,722.28
  4. Step 4: Simplify right side
    1,082.34x = 2,966,252.70
  5. Step 5: Solve for x
    x = 2,966,252.70/1,082.34
  6. Step 6: Final answer
    x = 2,740.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.