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Finding the Third Proportional to 3,230.72 and 4,658.06

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Solution

The third proportional to 3,230.72 and 4,658.06 is: 6,716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.72 : 4,658.06 = 4,658.06 : x
  2. Step 2: Convert to fraction form
    3,230.72/4,658.06 = 4,658.06/x
  3. Step 3: Cross multiply
    3,230.72x = 4,658.06 × 4,658.06
  4. Step 4: Simplify right side
    3,230.72x = 21,697,546.25
  5. Step 5: Solve for x
    x = 21,697,546.25/3,230.72
  6. Step 6: Final answer
    x = 6,716.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.