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Finding the Third Proportional to 1,306.55 and 2,758.64

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Solution

The third proportional to 1,306.55 and 2,758.64 is: 5,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.55 : 2,758.64 = 2,758.64 : x
  2. Step 2: Convert to fraction form
    1,306.55/2,758.64 = 2,758.64/x
  3. Step 3: Cross multiply
    1,306.55x = 2,758.64 × 2,758.64
  4. Step 4: Simplify right side
    1,306.55x = 7,610,098.10
  5. Step 5: Solve for x
    x = 7,610,098.10/1,306.55
  6. Step 6: Final answer
    x = 5,824.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.