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Finding the Third Proportional to 2,724.67 and 4,087.01

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Solution

The third proportional to 2,724.67 and 4,087.01 is: 6,130.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.67 : 4,087.01 = 4,087.01 : x
  2. Step 2: Convert to fraction form
    2,724.67/4,087.01 = 4,087.01/x
  3. Step 3: Cross multiply
    2,724.67x = 4,087.01 × 4,087.01
  4. Step 4: Simplify right side
    2,724.67x = 16,703,647.83
  5. Step 5: Solve for x
    x = 16,703,647.83/2,724.67
  6. Step 6: Final answer
    x = 6,130.51

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Why These Related Problems?

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