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Finding the Third Proportional to 1,722.83 and 2,603.71

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Solution

The third proportional to 1,722.83 and 2,603.71 is: 3,934.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.83 : 2,603.71 = 2,603.71 : x
  2. Step 2: Convert to fraction form
    1,722.83/2,603.71 = 2,603.71/x
  3. Step 3: Cross multiply
    1,722.83x = 2,603.71 × 2,603.71
  4. Step 4: Simplify right side
    1,722.83x = 6,779,290.30
  5. Step 5: Solve for x
    x = 6,779,290.30/1,722.83
  6. Step 6: Final answer
    x = 3,934.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.