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Finding the Third Proportional to 2,072.25 and 2,690.72

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Solution

The third proportional to 2,072.25 and 2,690.72 is: 3,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.25 : 2,690.72 = 2,690.72 : x
  2. Step 2: Convert to fraction form
    2,072.25/2,690.72 = 2,690.72/x
  3. Step 3: Cross multiply
    2,072.25x = 2,690.72 × 2,690.72
  4. Step 4: Simplify right side
    2,072.25x = 7,239,967.39
  5. Step 5: Solve for x
    x = 7,239,967.39/2,072.25
  6. Step 6: Final answer
    x = 3,493.77

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.