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Finding the Third Proportional to 1,626.75 and 3,826.13

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Solution

The third proportional to 1,626.75 and 3,826.13 is: 8,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.75 : 3,826.13 = 3,826.13 : x
  2. Step 2: Convert to fraction form
    1,626.75/3,826.13 = 3,826.13/x
  3. Step 3: Cross multiply
    1,626.75x = 3,826.13 × 3,826.13
  4. Step 4: Simplify right side
    1,626.75x = 14,639,232.52
  5. Step 5: Solve for x
    x = 14,639,232.52/1,626.75
  6. Step 6: Final answer
    x = 8,999.07

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.