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Finding the Third Proportional to 7,890.75 and 17,337.38

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Solution

The third proportional to 7,890.75 and 17,337.38 is: 38,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890.75 : 17,337.38 = 17,337.38 : x
  2. Step 2: Convert to fraction form
    7,890.75/17,337.38 = 17,337.38/x
  3. Step 3: Cross multiply
    7,890.75x = 17,337.38 × 17,337.38
  4. Step 4: Simplify right side
    7,890.75x = 300,584,571.89
  5. Step 5: Solve for x
    x = 300,584,571.89/7,890.75
  6. Step 6: Final answer
    x = 38,093.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.