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Finding the Third Proportional to 1,462.59 and 3,452.72

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Solution

The third proportional to 1,462.59 and 3,452.72 is: 8,150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.59 : 3,452.72 = 3,452.72 : x
  2. Step 2: Convert to fraction form
    1,462.59/3,452.72 = 3,452.72/x
  3. Step 3: Cross multiply
    1,462.59x = 3,452.72 × 3,452.72
  4. Step 4: Simplify right side
    1,462.59x = 11,921,266.77
  5. Step 5: Solve for x
    x = 11,921,266.77/1,462.59
  6. Step 6: Final answer
    x = 8,150.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.