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Finding the Third Proportional to 7,831.69 and 16,891.03

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Solution

The third proportional to 7,831.69 and 16,891.03 is: 36,429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.69 : 16,891.03 = 16,891.03 : x
  2. Step 2: Convert to fraction form
    7,831.69/16,891.03 = 16,891.03/x
  3. Step 3: Cross multiply
    7,831.69x = 16,891.03 × 16,891.03
  4. Step 4: Simplify right side
    7,831.69x = 285,306,936.69
  5. Step 5: Solve for x
    x = 285,306,936.69/7,831.69
  6. Step 6: Final answer
    x = 36,429.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.