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Finding the Third Proportional to 2,837.25 and 4,403.44

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Solution

The third proportional to 2,837.25 and 4,403.44 is: 6,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.25 : 4,403.44 = 4,403.44 : x
  2. Step 2: Convert to fraction form
    2,837.25/4,403.44 = 4,403.44/x
  3. Step 3: Cross multiply
    2,837.25x = 4,403.44 × 4,403.44
  4. Step 4: Simplify right side
    2,837.25x = 19,390,261.82
  5. Step 5: Solve for x
    x = 19,390,261.82/2,837.25
  6. Step 6: Final answer
    x = 6,834.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.