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Finding the Third Proportional to 6,951.75 and 14,826.38

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Solution

The third proportional to 6,951.75 and 14,826.38 is: 31,621.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.75 : 14,826.38 = 14,826.38 : x
  2. Step 2: Convert to fraction form
    6,951.75/14,826.38 = 14,826.38/x
  3. Step 3: Cross multiply
    6,951.75x = 14,826.38 × 14,826.38
  4. Step 4: Simplify right side
    6,951.75x = 219,821,395.64
  5. Step 5: Solve for x
    x = 219,821,395.64/6,951.75
  6. Step 6: Final answer
    x = 31,621.02

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.