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Finding the Third Proportional to 801.75 and 2,058.38

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Solution

The third proportional to 801.75 and 2,058.38 is: 5,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.75 : 2,058.38 = 2,058.38 : x
  2. Step 2: Convert to fraction form
    801.75/2,058.38 = 2,058.38/x
  3. Step 3: Cross multiply
    801.75x = 2,058.38 × 2,058.38
  4. Step 4: Simplify right side
    801.75x = 4,236,907.64
  5. Step 5: Solve for x
    x = 4,236,907.64/801.75
  6. Step 6: Final answer
    x = 5,284.57

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.