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Finding the Third Proportional to 733.25 and 1,096.13

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Solution

The third proportional to 733.25 and 1,096.13 is: 1,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.25 : 1,096.13 = 1,096.13 : x
  2. Step 2: Convert to fraction form
    733.25/1,096.13 = 1,096.13/x
  3. Step 3: Cross multiply
    733.25x = 1,096.13 × 1,096.13
  4. Step 4: Simplify right side
    733.25x = 1,201,490.02
  5. Step 5: Solve for x
    x = 1,201,490.02/733.25
  6. Step 6: Final answer
    x = 1,638.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.