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Finding the Third Proportional to 4,233.75 and 9,737.25

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Solution

The third proportional to 4,233.75 and 9,737.25 is: 22,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.75 : 9,737.25 = 9,737.25 : x
  2. Step 2: Convert to fraction form
    4,233.75/9,737.25 = 9,737.25/x
  3. Step 3: Cross multiply
    4,233.75x = 9,737.25 × 9,737.25
  4. Step 4: Simplify right side
    4,233.75x = 94,814,037.56
  5. Step 5: Solve for x
    x = 94,814,037.56/4,233.75
  6. Step 6: Final answer
    x = 22,394.81

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.