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Finding the Third Proportional to 3,322 and 7,230.50

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Solution

The third proportional to 3,322 and 7,230.50 is: 15,737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322 : 7,230.50 = 7,230.50 : x
  2. Step 2: Convert to fraction form
    3,322/7,230.50 = 7,230.50/x
  3. Step 3: Cross multiply
    3,322x = 7,230.50 × 7,230.50
  4. Step 4: Simplify right side
    3,322x = 52,280,130.25
  5. Step 5: Solve for x
    x = 52,280,130.25/3,322
  6. Step 6: Final answer
    x = 15,737.55

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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.