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Finding the Third Proportional to 2,567.53 and 3,960.14

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Solution

The third proportional to 2,567.53 and 3,960.14 is: 6,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.53 : 3,960.14 = 3,960.14 : x
  2. Step 2: Convert to fraction form
    2,567.53/3,960.14 = 3,960.14/x
  3. Step 3: Cross multiply
    2,567.53x = 3,960.14 × 3,960.14
  4. Step 4: Simplify right side
    2,567.53x = 15,682,713.77
  5. Step 5: Solve for x
    x = 15,682,713.77/2,567.53
  6. Step 6: Final answer
    x = 6,108.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.