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Finding the Third Proportional to 4,311.56 and 6,658.03

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Solution

The third proportional to 4,311.56 and 6,658.03 is: 10,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.56 : 6,658.03 = 6,658.03 : x
  2. Step 2: Convert to fraction form
    4,311.56/6,658.03 = 6,658.03/x
  3. Step 3: Cross multiply
    4,311.56x = 6,658.03 × 6,658.03
  4. Step 4: Simplify right side
    4,311.56x = 44,329,380.13
  5. Step 5: Solve for x
    x = 44,329,380.13/4,311.56
  6. Step 6: Final answer
    x = 10,281.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.