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Finding the Third Proportional to 4,237.31 and 5,757.96

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Solution

The third proportional to 4,237.31 and 5,757.96 is: 7,824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.31 : 5,757.96 = 5,757.96 : x
  2. Step 2: Convert to fraction form
    4,237.31/5,757.96 = 5,757.96/x
  3. Step 3: Cross multiply
    4,237.31x = 5,757.96 × 5,757.96
  4. Step 4: Simplify right side
    4,237.31x = 33,154,114.16
  5. Step 5: Solve for x
    x = 33,154,114.16/4,237.31
  6. Step 6: Final answer
    x = 7,824.33

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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.