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Finding the Third Proportional to 3,359.60 and 6,633.77

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Solution

The third proportional to 3,359.60 and 6,633.77 is: 13,098.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,359.60 : 6,633.77 = 6,633.77 : x
  2. Step 2: Convert to fraction form
    3,359.60/6,633.77 = 6,633.77/x
  3. Step 3: Cross multiply
    3,359.60x = 6,633.77 × 6,633.77
  4. Step 4: Simplify right side
    3,359.60x = 44,006,950.02
  5. Step 5: Solve for x
    x = 44,006,950.02/3,359.60
  6. Step 6: Final answer
    x = 13,098.86

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.