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Finding the Third Proportional to 2,607.75 and 3,910.88

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Solution

The third proportional to 2,607.75 and 3,910.88 is: 5,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.75 : 3,910.88 = 3,910.88 : x
  2. Step 2: Convert to fraction form
    2,607.75/3,910.88 = 3,910.88/x
  3. Step 3: Cross multiply
    2,607.75x = 3,910.88 × 3,910.88
  4. Step 4: Simplify right side
    2,607.75x = 15,294,943.27
  5. Step 5: Solve for x
    x = 15,294,943.27/2,607.75
  6. Step 6: Final answer
    x = 5,865.19

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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.