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Finding the Third Proportional to 1,894.22 and 2,711.39

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Solution

The third proportional to 1,894.22 and 2,711.39 is: 3,881.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.22 : 2,711.39 = 2,711.39 : x
  2. Step 2: Convert to fraction form
    1,894.22/2,711.39 = 2,711.39/x
  3. Step 3: Cross multiply
    1,894.22x = 2,711.39 × 2,711.39
  4. Step 4: Simplify right side
    1,894.22x = 7,351,639.12
  5. Step 5: Solve for x
    x = 7,351,639.12/1,894.22
  6. Step 6: Final answer
    x = 3,881.09

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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.