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Finding the Third Proportional to 7,350.75 and 17,335.69

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Solution

The third proportional to 7,350.75 and 17,335.69 is: 40,883.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350.75 : 17,335.69 = 17,335.69 : x
  2. Step 2: Convert to fraction form
    7,350.75/17,335.69 = 17,335.69/x
  3. Step 3: Cross multiply
    7,350.75x = 17,335.69 × 17,335.69
  4. Step 4: Simplify right side
    7,350.75x = 300,526,061.10
  5. Step 5: Solve for x
    x = 300,526,061.10/7,350.75
  6. Step 6: Final answer
    x = 40,883.73

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.