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Finding the Third Proportional to 2,184.47 and 3,285.14

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Solution

The third proportional to 2,184.47 and 3,285.14 is: 4,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.47 : 3,285.14 = 3,285.14 : x
  2. Step 2: Convert to fraction form
    2,184.47/3,285.14 = 3,285.14/x
  3. Step 3: Cross multiply
    2,184.47x = 3,285.14 × 3,285.14
  4. Step 4: Simplify right side
    2,184.47x = 10,792,148.93
  5. Step 5: Solve for x
    x = 10,792,148.93/2,184.47
  6. Step 6: Final answer
    x = 4,940.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.