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Finding the Third Proportional to 3,311.25 and 7,017.38

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Solution

The third proportional to 3,311.25 and 7,017.38 is: 14,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.25 : 7,017.38 = 7,017.38 : x
  2. Step 2: Convert to fraction form
    3,311.25/7,017.38 = 7,017.38/x
  3. Step 3: Cross multiply
    3,311.25x = 7,017.38 × 7,017.38
  4. Step 4: Simplify right side
    3,311.25x = 49,243,551.89
  5. Step 5: Solve for x
    x = 49,243,551.89/3,311.25
  6. Step 6: Final answer
    x = 14,871.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.