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Finding the Third Proportional to 906.19 and 2,138.06

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Solution

The third proportional to 906.19 and 2,138.06 is: 5,044.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.19 : 2,138.06 = 2,138.06 : x
  2. Step 2: Convert to fraction form
    906.19/2,138.06 = 2,138.06/x
  3. Step 3: Cross multiply
    906.19x = 2,138.06 × 2,138.06
  4. Step 4: Simplify right side
    906.19x = 4,571,311.25
  5. Step 5: Solve for x
    x = 4,571,311.25/906.19
  6. Step 6: Final answer
    x = 5,044.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.