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Finding the Third Proportional to 939.41 and 2,030.38

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Solution

The third proportional to 939.41 and 2,030.38 is: 4,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.41 : 2,030.38 = 2,030.38 : x
  2. Step 2: Convert to fraction form
    939.41/2,030.38 = 2,030.38/x
  3. Step 3: Cross multiply
    939.41x = 2,030.38 × 2,030.38
  4. Step 4: Simplify right side
    939.41x = 4,122,438.50
  5. Step 5: Solve for x
    x = 4,122,438.50/939.41
  6. Step 6: Final answer
    x = 4,388.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.