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Finding the Third Proportional to 3,564.56 and 9,351.56

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Solution

The third proportional to 3,564.56 and 9,351.56 is: 24,533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.56 : 9,351.56 = 9,351.56 : x
  2. Step 2: Convert to fraction form
    3,564.56/9,351.56 = 9,351.56/x
  3. Step 3: Cross multiply
    3,564.56x = 9,351.56 × 9,351.56
  4. Step 4: Simplify right side
    3,564.56x = 87,451,721.19
  5. Step 5: Solve for x
    x = 87,451,721.19/3,564.56
  6. Step 6: Final answer
    x = 24,533.65

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.