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Finding the Third Proportional to 1,767.23 and 2,651.06

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Solution

The third proportional to 1,767.23 and 2,651.06 is: 3,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.23 : 2,651.06 = 2,651.06 : x
  2. Step 2: Convert to fraction form
    1,767.23/2,651.06 = 2,651.06/x
  3. Step 3: Cross multiply
    1,767.23x = 2,651.06 × 2,651.06
  4. Step 4: Simplify right side
    1,767.23x = 7,028,132.38
  5. Step 5: Solve for x
    x = 7,028,132.38/1,767.23
  6. Step 6: Final answer
    x = 3,976.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.