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Finding the Third Proportional to 3,260 and 4,429.25

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Solution

The third proportional to 3,260 and 4,429.25 is: 6,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260 : 4,429.25 = 4,429.25 : x
  2. Step 2: Convert to fraction form
    3,260/4,429.25 = 4,429.25/x
  3. Step 3: Cross multiply
    3,260x = 4,429.25 × 4,429.25
  4. Step 4: Simplify right side
    3,260x = 19,618,255.56
  5. Step 5: Solve for x
    x = 19,618,255.56/3,260
  6. Step 6: Final answer
    x = 6,017.87

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.