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Finding the Third Proportional to 6,831.84 and 14,933.11

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Solution

The third proportional to 6,831.84 and 14,933.11 is: 32,640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.84 : 14,933.11 = 14,933.11 : x
  2. Step 2: Convert to fraction form
    6,831.84/14,933.11 = 14,933.11/x
  3. Step 3: Cross multiply
    6,831.84x = 14,933.11 × 14,933.11
  4. Step 4: Simplify right side
    6,831.84x = 222,997,755.61
  5. Step 5: Solve for x
    x = 222,997,755.61/6,831.84
  6. Step 6: Final answer
    x = 32,640.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.