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Finding the Third Proportional to 2,188.97 and 3,285.70

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Solution

The third proportional to 2,188.97 and 3,285.70 is: 4,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.97 : 3,285.70 = 3,285.70 : x
  2. Step 2: Convert to fraction form
    2,188.97/3,285.70 = 3,285.70/x
  3. Step 3: Cross multiply
    2,188.97x = 3,285.70 × 3,285.70
  4. Step 4: Simplify right side
    2,188.97x = 10,795,845.03
  5. Step 5: Solve for x
    x = 10,795,845.03/2,188.97
  6. Step 6: Final answer
    x = 4,931.93

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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.