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Finding the Third Proportional to 2,190.66 and 2,951.86

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Solution

The third proportional to 2,190.66 and 2,951.86 is: 3,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.66 : 2,951.86 = 2,951.86 : x
  2. Step 2: Convert to fraction form
    2,190.66/2,951.86 = 2,951.86/x
  3. Step 3: Cross multiply
    2,190.66x = 2,951.86 × 2,951.86
  4. Step 4: Simplify right side
    2,190.66x = 8,713,473.77
  5. Step 5: Solve for x
    x = 8,713,473.77/2,190.66
  6. Step 6: Final answer
    x = 3,977.56

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.