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Finding the Third Proportional to 3,357.18 and 7,311.73

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Solution

The third proportional to 3,357.18 and 7,311.73 is: 15,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.18 : 7,311.73 = 7,311.73 : x
  2. Step 2: Convert to fraction form
    3,357.18/7,311.73 = 7,311.73/x
  3. Step 3: Cross multiply
    3,357.18x = 7,311.73 × 7,311.73
  4. Step 4: Simplify right side
    3,357.18x = 53,461,345.32
  5. Step 5: Solve for x
    x = 53,461,345.32/3,357.18
  6. Step 6: Final answer
    x = 15,924.50

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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.