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Finding the Third Proportional to 1,520.65 and 2,325.59

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Solution

The third proportional to 1,520.65 and 2,325.59 is: 3,556.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.65 : 2,325.59 = 2,325.59 : x
  2. Step 2: Convert to fraction form
    1,520.65/2,325.59 = 2,325.59/x
  3. Step 3: Cross multiply
    1,520.65x = 2,325.59 × 2,325.59
  4. Step 4: Simplify right side
    1,520.65x = 5,408,349.95
  5. Step 5: Solve for x
    x = 5,408,349.95/1,520.65
  6. Step 6: Final answer
    x = 3,556.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.