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Finding the Third Proportional to 5,049.84 and 7,176.09

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Solution

The third proportional to 5,049.84 and 7,176.09 is: 10,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.84 : 7,176.09 = 7,176.09 : x
  2. Step 2: Convert to fraction form
    5,049.84/7,176.09 = 7,176.09/x
  3. Step 3: Cross multiply
    5,049.84x = 7,176.09 × 7,176.09
  4. Step 4: Simplify right side
    5,049.84x = 51,496,321.51
  5. Step 5: Solve for x
    x = 51,496,321.51/5,049.84
  6. Step 6: Final answer
    x = 10,197.61

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.