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Finding the Third Proportional to 5,022 and 7,391.25

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Solution

The third proportional to 5,022 and 7,391.25 is: 10,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022 : 7,391.25 = 7,391.25 : x
  2. Step 2: Convert to fraction form
    5,022/7,391.25 = 7,391.25/x
  3. Step 3: Cross multiply
    5,022x = 7,391.25 × 7,391.25
  4. Step 4: Simplify right side
    5,022x = 54,630,576.56
  5. Step 5: Solve for x
    x = 54,630,576.56/5,022
  6. Step 6: Final answer
    x = 10,878.25

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Why These Related Problems?

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