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Finding the Third Proportional to 3,378.38 and 7,323.75

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Solution

The third proportional to 3,378.38 and 7,323.75 is: 15,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.38 : 7,323.75 = 7,323.75 : x
  2. Step 2: Convert to fraction form
    3,378.38/7,323.75 = 7,323.75/x
  3. Step 3: Cross multiply
    3,378.38x = 7,323.75 × 7,323.75
  4. Step 4: Simplify right side
    3,378.38x = 53,637,314.06
  5. Step 5: Solve for x
    x = 53,637,314.06/3,378.38
  6. Step 6: Final answer
    x = 15,876.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.