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Finding the Third Proportional to 1,776.94 and 2,691.98

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Solution

The third proportional to 1,776.94 and 2,691.98 is: 4,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.94 : 2,691.98 = 2,691.98 : x
  2. Step 2: Convert to fraction form
    1,776.94/2,691.98 = 2,691.98/x
  3. Step 3: Cross multiply
    1,776.94x = 2,691.98 × 2,691.98
  4. Step 4: Simplify right side
    1,776.94x = 7,246,779.88
  5. Step 5: Solve for x
    x = 7,246,779.88/1,776.94
  6. Step 6: Final answer
    x = 4,078.24

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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.