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Finding the Third Proportional to 1,189.55 and 2,575.55

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Solution

The third proportional to 1,189.55 and 2,575.55 is: 5,576.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.55 : 2,575.55 = 2,575.55 : x
  2. Step 2: Convert to fraction form
    1,189.55/2,575.55 = 2,575.55/x
  3. Step 3: Cross multiply
    1,189.55x = 2,575.55 × 2,575.55
  4. Step 4: Simplify right side
    1,189.55x = 6,633,441.71
  5. Step 5: Solve for x
    x = 6,633,441.71/1,189.55
  6. Step 6: Final answer
    x = 5,576.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.