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Finding the Third Proportional to 4,049.37 and 9,533.95

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Solution

The third proportional to 4,049.37 and 9,533.95 is: 22,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.37 : 9,533.95 = 9,533.95 : x
  2. Step 2: Convert to fraction form
    4,049.37/9,533.95 = 9,533.95/x
  3. Step 3: Cross multiply
    4,049.37x = 9,533.95 × 9,533.95
  4. Step 4: Simplify right side
    4,049.37x = 90,896,262.19
  5. Step 5: Solve for x
    x = 90,896,262.19/4,049.37
  6. Step 6: Final answer
    x = 22,447.03

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.