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Finding the Third Proportional to 4,182 and 6,357.75

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Solution

The third proportional to 4,182 and 6,357.75 is: 9,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182 : 6,357.75 = 6,357.75 : x
  2. Step 2: Convert to fraction form
    4,182/6,357.75 = 6,357.75/x
  3. Step 3: Cross multiply
    4,182x = 6,357.75 × 6,357.75
  4. Step 4: Simplify right side
    4,182x = 40,420,985.06
  5. Step 5: Solve for x
    x = 40,420,985.06/4,182
  6. Step 6: Final answer
    x = 9,665.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.