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Finding the Third Proportional to 2,540.06 and 3,810.19

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Solution

The third proportional to 2,540.06 and 3,810.19 is: 5,715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.06 : 3,810.19 = 3,810.19 : x
  2. Step 2: Convert to fraction form
    2,540.06/3,810.19 = 3,810.19/x
  3. Step 3: Cross multiply
    2,540.06x = 3,810.19 × 3,810.19
  4. Step 4: Simplify right side
    2,540.06x = 14,517,528.79
  5. Step 5: Solve for x
    x = 14,517,528.79/2,540.06
  6. Step 6: Final answer
    x = 5,715.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.