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Finding the Third Proportional to 940.13 and 2,034.38

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Solution

The third proportional to 940.13 and 2,034.38 is: 4,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.13 : 2,034.38 = 2,034.38 : x
  2. Step 2: Convert to fraction form
    940.13/2,034.38 = 2,034.38/x
  3. Step 3: Cross multiply
    940.13x = 2,034.38 × 2,034.38
  4. Step 4: Simplify right side
    940.13x = 4,138,681.64
  5. Step 5: Solve for x
    x = 4,138,681.64/940.13
  6. Step 6: Final answer
    x = 4,402.27

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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.