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Finding the Third Proportional to 2,626.17 and 3,887.37

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Solution

The third proportional to 2,626.17 and 3,887.37 is: 5,754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.17 : 3,887.37 = 3,887.37 : x
  2. Step 2: Convert to fraction form
    2,626.17/3,887.37 = 3,887.37/x
  3. Step 3: Cross multiply
    2,626.17x = 3,887.37 × 3,887.37
  4. Step 4: Simplify right side
    2,626.17x = 15,111,623.65
  5. Step 5: Solve for x
    x = 15,111,623.65/2,626.17
  6. Step 6: Final answer
    x = 5,754.24

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.