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Finding the Third Proportional to 2,648.06 and 3,513.94

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Solution

The third proportional to 2,648.06 and 3,513.94 is: 4,662.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.06 : 3,513.94 = 3,513.94 : x
  2. Step 2: Convert to fraction form
    2,648.06/3,513.94 = 3,513.94/x
  3. Step 3: Cross multiply
    2,648.06x = 3,513.94 × 3,513.94
  4. Step 4: Simplify right side
    2,648.06x = 12,347,756.75
  5. Step 5: Solve for x
    x = 12,347,756.75/2,648.06
  6. Step 6: Final answer
    x = 4,662.94

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.