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Finding the Third Proportional to 940.13 and 1,339.31

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Solution

The third proportional to 940.13 and 1,339.31 is: 1,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.13 : 1,339.31 = 1,339.31 : x
  2. Step 2: Convert to fraction form
    940.13/1,339.31 = 1,339.31/x
  3. Step 3: Cross multiply
    940.13x = 1,339.31 × 1,339.31
  4. Step 4: Simplify right side
    940.13x = 1,793,757.97
  5. Step 5: Solve for x
    x = 1,793,757.97/940.13
  6. Step 6: Final answer
    x = 1,908.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.