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Finding the Third Proportional to 3,734 and 7,280

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Solution

The third proportional to 3,734 and 7,280 is: 14,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734 : 7,280 = 7,280 : x
  2. Step 2: Convert to fraction form
    3,734/7,280 = 7,280/x
  3. Step 3: Cross multiply
    3,734x = 7,280 × 7,280
  4. Step 4: Simplify right side
    3,734x = 52,998,400
  5. Step 5: Solve for x
    x = 52,998,400/3,734
  6. Step 6: Final answer
    x = 14,193.47

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.