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Finding the Third Proportional to 10,942.88 and 16,976.81

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Solution

The third proportional to 10,942.88 and 16,976.81 is: 26,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.88 : 16,976.81 = 16,976.81 : x
  2. Step 2: Convert to fraction form
    10,942.88/16,976.81 = 16,976.81/x
  3. Step 3: Cross multiply
    10,942.88x = 16,976.81 × 16,976.81
  4. Step 4: Simplify right side
    10,942.88x = 288,212,162.66
  5. Step 5: Solve for x
    x = 288,212,162.66/10,942.88
  6. Step 6: Final answer
    x = 26,337.88

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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.