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Finding the Third Proportional to 3,667.25 and 4,888.38

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Solution

The third proportional to 3,667.25 and 4,888.38 is: 6,516.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.25 : 4,888.38 = 4,888.38 : x
  2. Step 2: Convert to fraction form
    3,667.25/4,888.38 = 4,888.38/x
  3. Step 3: Cross multiply
    3,667.25x = 4,888.38 × 4,888.38
  4. Step 4: Simplify right side
    3,667.25x = 23,896,210.14
  5. Step 5: Solve for x
    x = 23,896,210.14/3,667.25
  6. Step 6: Final answer
    x = 6,516.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.