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Finding the Third Proportional to 938.44 and 1,938.47

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Solution

The third proportional to 938.44 and 1,938.47 is: 4,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.44 : 1,938.47 = 1,938.47 : x
  2. Step 2: Convert to fraction form
    938.44/1,938.47 = 1,938.47/x
  3. Step 3: Cross multiply
    938.44x = 1,938.47 × 1,938.47
  4. Step 4: Simplify right side
    938.44x = 3,757,661.09
  5. Step 5: Solve for x
    x = 3,757,661.09/938.44
  6. Step 6: Final answer
    x = 4,004.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.