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Finding the Third Proportional to 6,951.94 and 15,022.69

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Solution

The third proportional to 6,951.94 and 15,022.69 is: 32,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.94 : 15,022.69 = 15,022.69 : x
  2. Step 2: Convert to fraction form
    6,951.94/15,022.69 = 15,022.69/x
  3. Step 3: Cross multiply
    6,951.94x = 15,022.69 × 15,022.69
  4. Step 4: Simplify right side
    6,951.94x = 225,681,139.72
  5. Step 5: Solve for x
    x = 225,681,139.72/6,951.94
  6. Step 6: Final answer
    x = 32,463.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.