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Finding the Third Proportional to 1,733.91 and 2,691.98

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Solution

The third proportional to 1,733.91 and 2,691.98 is: 4,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.91 : 2,691.98 = 2,691.98 : x
  2. Step 2: Convert to fraction form
    1,733.91/2,691.98 = 2,691.98/x
  3. Step 3: Cross multiply
    1,733.91x = 2,691.98 × 2,691.98
  4. Step 4: Simplify right side
    1,733.91x = 7,246,779.88
  5. Step 5: Solve for x
    x = 7,246,779.88/1,733.91
  6. Step 6: Final answer
    x = 4,179.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.