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Finding the Third Proportional to 4,383.56 and 6,165.84

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Solution

The third proportional to 4,383.56 and 6,165.84 is: 8,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,383.56 : 6,165.84 = 6,165.84 : x
  2. Step 2: Convert to fraction form
    4,383.56/6,165.84 = 6,165.84/x
  3. Step 3: Cross multiply
    4,383.56x = 6,165.84 × 6,165.84
  4. Step 4: Simplify right side
    4,383.56x = 38,017,629.15
  5. Step 5: Solve for x
    x = 38,017,629.15/4,383.56
  6. Step 6: Final answer
    x = 8,672.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.