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Finding the Third Proportional to 799.25 and 1,569.25

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Solution

The third proportional to 799.25 and 1,569.25 is: 3,081.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.25 : 1,569.25 = 1,569.25 : x
  2. Step 2: Convert to fraction form
    799.25/1,569.25 = 1,569.25/x
  3. Step 3: Cross multiply
    799.25x = 1,569.25 × 1,569.25
  4. Step 4: Simplify right side
    799.25x = 2,462,545.56
  5. Step 5: Solve for x
    x = 2,462,545.56/799.25
  6. Step 6: Final answer
    x = 3,081.07

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.