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Finding the Third Proportional to 5,034.75 and 7,404.38

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Solution

The third proportional to 5,034.75 and 7,404.38 is: 10,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.75 : 7,404.38 = 7,404.38 : x
  2. Step 2: Convert to fraction form
    5,034.75/7,404.38 = 7,404.38/x
  3. Step 3: Cross multiply
    5,034.75x = 7,404.38 × 7,404.38
  4. Step 4: Simplify right side
    5,034.75x = 54,824,769.14
  5. Step 5: Solve for x
    x = 54,824,769.14/5,034.75
  6. Step 6: Final answer
    x = 10,889.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.