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Finding the Third Proportional to 4,155.56 and 6,233.34

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Solution

The third proportional to 4,155.56 and 6,233.34 is: 9,350.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.56 : 6,233.34 = 6,233.34 : x
  2. Step 2: Convert to fraction form
    4,155.56/6,233.34 = 6,233.34/x
  3. Step 3: Cross multiply
    4,155.56x = 6,233.34 × 6,233.34
  4. Step 4: Simplify right side
    4,155.56x = 38,854,574.31
  5. Step 5: Solve for x
    x = 38,854,574.31/4,155.56
  6. Step 6: Final answer
    x = 9,350.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.