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Finding the Third Proportional to 5,046.75 and 9,371.25

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Solution

The third proportional to 5,046.75 and 9,371.25 is: 17,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.75 : 9,371.25 = 9,371.25 : x
  2. Step 2: Convert to fraction form
    5,046.75/9,371.25 = 9,371.25/x
  3. Step 3: Cross multiply
    5,046.75x = 9,371.25 × 9,371.25
  4. Step 4: Simplify right side
    5,046.75x = 87,820,326.56
  5. Step 5: Solve for x
    x = 87,820,326.56/5,046.75
  6. Step 6: Final answer
    x = 17,401.36

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.