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Finding the Third Proportional to 6,957.38 and 10,781.81

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Solution

The third proportional to 6,957.38 and 10,781.81 is: 16,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.38 : 10,781.81 = 10,781.81 : x
  2. Step 2: Convert to fraction form
    6,957.38/10,781.81 = 10,781.81/x
  3. Step 3: Cross multiply
    6,957.38x = 10,781.81 × 10,781.81
  4. Step 4: Simplify right side
    6,957.38x = 116,247,480.79
  5. Step 5: Solve for x
    x = 116,247,480.79/6,957.38
  6. Step 6: Final answer
    x = 16,708.53

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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.