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Finding the Third Proportional to 8,132.06 and 16,905.38

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Solution

The third proportional to 8,132.06 and 16,905.38 is: 35,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.06 : 16,905.38 = 16,905.38 : x
  2. Step 2: Convert to fraction form
    8,132.06/16,905.38 = 16,905.38/x
  3. Step 3: Cross multiply
    8,132.06x = 16,905.38 × 16,905.38
  4. Step 4: Simplify right side
    8,132.06x = 285,791,703.89
  5. Step 5: Solve for x
    x = 285,791,703.89/8,132.06
  6. Step 6: Final answer
    x = 35,143.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.