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Finding the Third Proportional to 4,188 and 5,952.75

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Solution

The third proportional to 4,188 and 5,952.75 is: 8,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188 : 5,952.75 = 5,952.75 : x
  2. Step 2: Convert to fraction form
    4,188/5,952.75 = 5,952.75/x
  3. Step 3: Cross multiply
    4,188x = 5,952.75 × 5,952.75
  4. Step 4: Simplify right side
    4,188x = 35,435,232.56
  5. Step 5: Solve for x
    x = 35,435,232.56/4,188
  6. Step 6: Final answer
    x = 8,461.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.