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Finding the Third Proportional to 1,722.09 and 2,651.91

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Solution

The third proportional to 1,722.09 and 2,651.91 is: 4,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.09 : 2,651.91 = 2,651.91 : x
  2. Step 2: Convert to fraction form
    1,722.09/2,651.91 = 2,651.91/x
  3. Step 3: Cross multiply
    1,722.09x = 2,651.91 × 2,651.91
  4. Step 4: Simplify right side
    1,722.09x = 7,032,606.76
  5. Step 5: Solve for x
    x = 7,032,606.76/1,722.09
  6. Step 6: Final answer
    x = 4,083.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.