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Finding the Third Proportional to 3,034.13 and 7,089.19

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Solution

The third proportional to 3,034.13 and 7,089.19 is: 16,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.13 : 7,089.19 = 7,089.19 : x
  2. Step 2: Convert to fraction form
    3,034.13/7,089.19 = 7,089.19/x
  3. Step 3: Cross multiply
    3,034.13x = 7,089.19 × 7,089.19
  4. Step 4: Simplify right side
    3,034.13x = 50,256,579.41
  5. Step 5: Solve for x
    x = 50,256,579.41/3,034.13
  6. Step 6: Final answer
    x = 16,563.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.