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Finding the Third Proportional to 733.13 and 1,682.81

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Solution

The third proportional to 733.13 and 1,682.81 is: 3,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.13 : 1,682.81 = 1,682.81 : x
  2. Step 2: Convert to fraction form
    733.13/1,682.81 = 1,682.81/x
  3. Step 3: Cross multiply
    733.13x = 1,682.81 × 1,682.81
  4. Step 4: Simplify right side
    733.13x = 2,831,857.91
  5. Step 5: Solve for x
    x = 2,831,857.91/733.13
  6. Step 6: Final answer
    x = 3,862.72

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.