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Finding the Third Proportional to 1,317.38 and 1,902.94

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Solution

The third proportional to 1,317.38 and 1,902.94 is: 2,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.38 : 1,902.94 = 1,902.94 : x
  2. Step 2: Convert to fraction form
    1,317.38/1,902.94 = 1,902.94/x
  3. Step 3: Cross multiply
    1,317.38x = 1,902.94 × 1,902.94
  4. Step 4: Simplify right side
    1,317.38x = 3,621,171.13
  5. Step 5: Solve for x
    x = 3,621,171.13/1,317.38
  6. Step 6: Final answer
    x = 2,748.78

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.