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Finding the Third Proportional to 799.84 and 1,750.24

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Solution

The third proportional to 799.84 and 1,750.24 is: 3,829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.84 : 1,750.24 = 1,750.24 : x
  2. Step 2: Convert to fraction form
    799.84/1,750.24 = 1,750.24/x
  3. Step 3: Cross multiply
    799.84x = 1,750.24 × 1,750.24
  4. Step 4: Simplify right side
    799.84x = 3,063,342.59
  5. Step 5: Solve for x
    x = 3,063,342.59/799.84
  6. Step 6: Final answer
    x = 3,829.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.