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Finding the Third Proportional to 7,329.87 and 11,199.83

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Solution

The third proportional to 7,329.87 and 11,199.83 is: 17,113.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329.87 : 11,199.83 = 11,199.83 : x
  2. Step 2: Convert to fraction form
    7,329.87/11,199.83 = 11,199.83/x
  3. Step 3: Cross multiply
    7,329.87x = 11,199.83 × 11,199.83
  4. Step 4: Simplify right side
    7,329.87x = 125,436,237.53
  5. Step 5: Solve for x
    x = 125,436,237.53/7,329.87
  6. Step 6: Final answer
    x = 17,113.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.