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Finding the Third Proportional to 736.73 and 1,533.30

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Solution

The third proportional to 736.73 and 1,533.30 is: 3,191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.73 : 1,533.30 = 1,533.30 : x
  2. Step 2: Convert to fraction form
    736.73/1,533.30 = 1,533.30/x
  3. Step 3: Cross multiply
    736.73x = 1,533.30 × 1,533.30
  4. Step 4: Simplify right side
    736.73x = 2,351,023.26
  5. Step 5: Solve for x
    x = 2,351,023.26/736.73
  6. Step 6: Final answer
    x = 3,191.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.