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Finding the Third Proportional to 3,205.41 and 6,995.32

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Solution

The third proportional to 3,205.41 and 6,995.32 is: 15,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.41 : 6,995.32 = 6,995.32 : x
  2. Step 2: Convert to fraction form
    3,205.41/6,995.32 = 6,995.32/x
  3. Step 3: Cross multiply
    3,205.41x = 6,995.32 × 6,995.32
  4. Step 4: Simplify right side
    3,205.41x = 48,934,506.27
  5. Step 5: Solve for x
    x = 48,934,506.27/3,205.41
  6. Step 6: Final answer
    x = 15,266.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.