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Finding the Third Proportional to 3,234.94 and 7,079.06

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Solution

The third proportional to 3,234.94 and 7,079.06 is: 15,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.94 : 7,079.06 = 7,079.06 : x
  2. Step 2: Convert to fraction form
    3,234.94/7,079.06 = 7,079.06/x
  3. Step 3: Cross multiply
    3,234.94x = 7,079.06 × 7,079.06
  4. Step 4: Simplify right side
    3,234.94x = 50,113,125.88
  5. Step 5: Solve for x
    x = 50,113,125.88/3,234.94
  6. Step 6: Final answer
    x = 15,491.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.