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Finding the Third Proportional to 2,419.13 and 3,769.31

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Solution

The third proportional to 2,419.13 and 3,769.31 is: 5,873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.13 : 3,769.31 = 3,769.31 : x
  2. Step 2: Convert to fraction form
    2,419.13/3,769.31 = 3,769.31/x
  3. Step 3: Cross multiply
    2,419.13x = 3,769.31 × 3,769.31
  4. Step 4: Simplify right side
    2,419.13x = 14,207,716.72
  5. Step 5: Solve for x
    x = 14,207,716.72/2,419.13
  6. Step 6: Final answer
    x = 5,873.08

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.