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Finding the Third Proportional to 4,533.47 and 9,757.97

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Solution

The third proportional to 4,533.47 and 9,757.97 is: 21,003.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.47 : 9,757.97 = 9,757.97 : x
  2. Step 2: Convert to fraction form
    4,533.47/9,757.97 = 9,757.97/x
  3. Step 3: Cross multiply
    4,533.47x = 9,757.97 × 9,757.97
  4. Step 4: Simplify right side
    4,533.47x = 95,217,954.13
  5. Step 5: Solve for x
    x = 95,217,954.13/4,533.47
  6. Step 6: Final answer
    x = 21,003.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.