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Finding the Third Proportional to 3,975 and 9,208.50

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Solution

The third proportional to 3,975 and 9,208.50 is: 21,332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975 : 9,208.50 = 9,208.50 : x
  2. Step 2: Convert to fraction form
    3,975/9,208.50 = 9,208.50/x
  3. Step 3: Cross multiply
    3,975x = 9,208.50 × 9,208.50
  4. Step 4: Simplify right side
    3,975x = 84,796,472.25
  5. Step 5: Solve for x
    x = 84,796,472.25/3,975
  6. Step 6: Final answer
    x = 21,332.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.