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Finding the Third Proportional to 7,851.38 and 17,034.75

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Solution

The third proportional to 7,851.38 and 17,034.75 is: 36,959.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.38 : 17,034.75 = 17,034.75 : x
  2. Step 2: Convert to fraction form
    7,851.38/17,034.75 = 17,034.75/x
  3. Step 3: Cross multiply
    7,851.38x = 17,034.75 × 17,034.75
  4. Step 4: Simplify right side
    7,851.38x = 290,182,707.56
  5. Step 5: Solve for x
    x = 290,182,707.56/7,851.38
  6. Step 6: Final answer
    x = 36,959.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.