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Finding the Third Proportional to 1,938.97 and 4,205.94

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Solution

The third proportional to 1,938.97 and 4,205.94 is: 9,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.97 : 4,205.94 = 4,205.94 : x
  2. Step 2: Convert to fraction form
    1,938.97/4,205.94 = 4,205.94/x
  3. Step 3: Cross multiply
    1,938.97x = 4,205.94 × 4,205.94
  4. Step 4: Simplify right side
    1,938.97x = 17,689,910.25
  5. Step 5: Solve for x
    x = 17,689,910.25/1,938.97
  6. Step 6: Final answer
    x = 9,123.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.