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Finding the Third Proportional to 885.62 and 1,936.41

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Solution

The third proportional to 885.62 and 1,936.41 is: 4,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.62 : 1,936.41 = 1,936.41 : x
  2. Step 2: Convert to fraction form
    885.62/1,936.41 = 1,936.41/x
  3. Step 3: Cross multiply
    885.62x = 1,936.41 × 1,936.41
  4. Step 4: Simplify right side
    885.62x = 3,749,669.17
  5. Step 5: Solve for x
    x = 3,749,669.17/885.62
  6. Step 6: Final answer
    x = 4,233.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.