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Finding the Third Proportional to 1,844.25 and 4,012.13

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Solution

The third proportional to 1,844.25 and 4,012.13 is: 8,728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.25 : 4,012.13 = 4,012.13 : x
  2. Step 2: Convert to fraction form
    1,844.25/4,012.13 = 4,012.13/x
  3. Step 3: Cross multiply
    1,844.25x = 4,012.13 × 4,012.13
  4. Step 4: Simplify right side
    1,844.25x = 16,097,147.02
  5. Step 5: Solve for x
    x = 16,097,147.02/1,844.25
  6. Step 6: Final answer
    x = 8,728.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.