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Finding the Third Proportional to 3,396.30 and 4,996.11

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Solution

The third proportional to 3,396.30 and 4,996.11 is: 7,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.30 : 4,996.11 = 4,996.11 : x
  2. Step 2: Convert to fraction form
    3,396.30/4,996.11 = 4,996.11/x
  3. Step 3: Cross multiply
    3,396.30x = 4,996.11 × 4,996.11
  4. Step 4: Simplify right side
    3,396.30x = 24,961,089.37
  5. Step 5: Solve for x
    x = 24,961,089.37/3,396.30
  6. Step 6: Final answer
    x = 7,349.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.