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Finding the Third Proportional to 4,202.75 and 5,710.88

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Solution

The third proportional to 4,202.75 and 5,710.88 is: 7,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.75 : 5,710.88 = 5,710.88 : x
  2. Step 2: Convert to fraction form
    4,202.75/5,710.88 = 5,710.88/x
  3. Step 3: Cross multiply
    4,202.75x = 5,710.88 × 5,710.88
  4. Step 4: Simplify right side
    4,202.75x = 32,614,093.27
  5. Step 5: Solve for x
    x = 32,614,093.27/4,202.75
  6. Step 6: Final answer
    x = 7,760.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.