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Finding the Third Proportional to 2,647.69 and 4,098.94

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Solution

The third proportional to 2,647.69 and 4,098.94 is: 6,345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.69 : 4,098.94 = 4,098.94 : x
  2. Step 2: Convert to fraction form
    2,647.69/4,098.94 = 4,098.94/x
  3. Step 3: Cross multiply
    2,647.69x = 4,098.94 × 4,098.94
  4. Step 4: Simplify right side
    2,647.69x = 16,801,288.63
  5. Step 5: Solve for x
    x = 16,801,288.63/2,647.69
  6. Step 6: Final answer
    x = 6,345.65

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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.