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Finding the Third Proportional to 2,721.66 and 5,799.09

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Solution

The third proportional to 2,721.66 and 5,799.09 is: 12,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.66 : 5,799.09 = 5,799.09 : x
  2. Step 2: Convert to fraction form
    2,721.66/5,799.09 = 5,799.09/x
  3. Step 3: Cross multiply
    2,721.66x = 5,799.09 × 5,799.09
  4. Step 4: Simplify right side
    2,721.66x = 33,629,488.32
  5. Step 5: Solve for x
    x = 33,629,488.32/2,721.66
  6. Step 6: Final answer
    x = 12,356.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.