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Finding the Third Proportional to 938.25 and 1,930.50

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Solution

The third proportional to 938.25 and 1,930.50 is: 3,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.25 : 1,930.50 = 1,930.50 : x
  2. Step 2: Convert to fraction form
    938.25/1,930.50 = 1,930.50/x
  3. Step 3: Cross multiply
    938.25x = 1,930.50 × 1,930.50
  4. Step 4: Simplify right side
    938.25x = 3,726,830.25
  5. Step 5: Solve for x
    x = 3,726,830.25/938.25
  6. Step 6: Final answer
    x = 3,972.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.