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Finding the Third Proportional to 7,921.75 and 16,852.38

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Solution

The third proportional to 7,921.75 and 16,852.38 is: 35,850.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.75 : 16,852.38 = 16,852.38 : x
  2. Step 2: Convert to fraction form
    7,921.75/16,852.38 = 16,852.38/x
  3. Step 3: Cross multiply
    7,921.75x = 16,852.38 × 16,852.38
  4. Step 4: Simplify right side
    7,921.75x = 284,002,543.14
  5. Step 5: Solve for x
    x = 284,002,543.14/7,921.75
  6. Step 6: Final answer
    x = 35,850.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.