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Finding the Third Proportional to 1,474.88 and 2,003.06

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Solution

The third proportional to 1,474.88 and 2,003.06 is: 2,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.88 : 2,003.06 = 2,003.06 : x
  2. Step 2: Convert to fraction form
    1,474.88/2,003.06 = 2,003.06/x
  3. Step 3: Cross multiply
    1,474.88x = 2,003.06 × 2,003.06
  4. Step 4: Simplify right side
    1,474.88x = 4,012,259.38
  5. Step 5: Solve for x
    x = 4,012,259.38/1,474.88
  6. Step 6: Final answer
    x = 2,720.41

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.