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Finding the Third Proportional to 800.16 and 1,853.58

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Solution

The third proportional to 800.16 and 1,853.58 is: 4,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.16 : 1,853.58 = 1,853.58 : x
  2. Step 2: Convert to fraction form
    800.16/1,853.58 = 1,853.58/x
  3. Step 3: Cross multiply
    800.16x = 1,853.58 × 1,853.58
  4. Step 4: Simplify right side
    800.16x = 3,435,751.87
  5. Step 5: Solve for x
    x = 3,435,751.87/800.16
  6. Step 6: Final answer
    x = 4,293.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.