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Finding the Third Proportional to 938.14 and 2,041.45

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Solution

The third proportional to 938.14 and 2,041.45 is: 4,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.14 : 2,041.45 = 2,041.45 : x
  2. Step 2: Convert to fraction form
    938.14/2,041.45 = 2,041.45/x
  3. Step 3: Cross multiply
    938.14x = 2,041.45 × 2,041.45
  4. Step 4: Simplify right side
    938.14x = 4,167,530.86
  5. Step 5: Solve for x
    x = 4,167,530.86/938.14
  6. Step 6: Final answer
    x = 4,442.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.