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Finding the Third Proportional to 903 and 1,943.25

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Solution

The third proportional to 903 and 1,943.25 is: 4,181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    903 : 1,943.25 = 1,943.25 : x
  2. Step 2: Convert to fraction form
    903/1,943.25 = 1,943.25/x
  3. Step 3: Cross multiply
    903x = 1,943.25 × 1,943.25
  4. Step 4: Simplify right side
    903x = 3,776,220.56
  5. Step 5: Solve for x
    x = 3,776,220.56/903
  6. Step 6: Final answer
    x = 4,181.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.