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Finding the Third Proportional to 1,533.46 and 3,331.76

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Solution

The third proportional to 1,533.46 and 3,331.76 is: 7,238.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.46 : 3,331.76 = 3,331.76 : x
  2. Step 2: Convert to fraction form
    1,533.46/3,331.76 = 3,331.76/x
  3. Step 3: Cross multiply
    1,533.46x = 3,331.76 × 3,331.76
  4. Step 4: Simplify right side
    1,533.46x = 11,100,610.12
  5. Step 5: Solve for x
    x = 11,100,610.12/1,533.46
  6. Step 6: Final answer
    x = 7,238.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.