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Finding the Third Proportional to 3,034.13 and 7,011.56

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Solution

The third proportional to 3,034.13 and 7,011.56 is: 16,203.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.13 : 7,011.56 = 7,011.56 : x
  2. Step 2: Convert to fraction form
    3,034.13/7,011.56 = 7,011.56/x
  3. Step 3: Cross multiply
    3,034.13x = 7,011.56 × 7,011.56
  4. Step 4: Simplify right side
    3,034.13x = 49,162,008.69
  5. Step 5: Solve for x
    x = 49,162,008.69/3,034.13
  6. Step 6: Final answer
    x = 16,203.03

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.