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Finding the Third Proportional to 1,838.50 and 2,626.75

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Solution

The third proportional to 1,838.50 and 2,626.75 is: 3,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.50 : 2,626.75 = 2,626.75 : x
  2. Step 2: Convert to fraction form
    1,838.50/2,626.75 = 2,626.75/x
  3. Step 3: Cross multiply
    1,838.50x = 2,626.75 × 2,626.75
  4. Step 4: Simplify right side
    1,838.50x = 6,899,815.56
  5. Step 5: Solve for x
    x = 6,899,815.56/1,838.50
  6. Step 6: Final answer
    x = 3,752.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.