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Finding the Third Proportional to 2,351.11 and 3,615.05

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Solution

The third proportional to 2,351.11 and 3,615.05 is: 5,558.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.11 : 3,615.05 = 3,615.05 : x
  2. Step 2: Convert to fraction form
    2,351.11/3,615.05 = 3,615.05/x
  3. Step 3: Cross multiply
    2,351.11x = 3,615.05 × 3,615.05
  4. Step 4: Simplify right side
    2,351.11x = 13,068,563.91
  5. Step 5: Solve for x
    x = 13,068,563.91/2,351.11
  6. Step 6: Final answer
    x = 5,558.47

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.