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Finding the Third Proportional to 2,766.66 and 7,200.14

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Solution

The third proportional to 2,766.66 and 7,200.14 is: 18,738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.66 : 7,200.14 = 7,200.14 : x
  2. Step 2: Convert to fraction form
    2,766.66/7,200.14 = 7,200.14/x
  3. Step 3: Cross multiply
    2,766.66x = 7,200.14 × 7,200.14
  4. Step 4: Simplify right side
    2,766.66x = 51,842,025.02
  5. Step 5: Solve for x
    x = 51,842,025.02/2,766.66
  6. Step 6: Final answer
    x = 18,738.15

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.