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Finding the Third Proportional to 7,498.83 and 11,652.61

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Solution

The third proportional to 7,498.83 and 11,652.61 is: 18,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.83 : 11,652.61 = 11,652.61 : x
  2. Step 2: Convert to fraction form
    7,498.83/11,652.61 = 11,652.61/x
  3. Step 3: Cross multiply
    7,498.83x = 11,652.61 × 11,652.61
  4. Step 4: Simplify right side
    7,498.83x = 135,783,305.25
  5. Step 5: Solve for x
    x = 135,783,305.25/7,498.83
  6. Step 6: Final answer
    x = 18,107.27

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Why These Related Problems?

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