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Finding the Third Proportional to 7,831.69 and 16,539.19

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Solution

The third proportional to 7,831.69 and 16,539.19 is: 34,927.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.69 : 16,539.19 = 16,539.19 : x
  2. Step 2: Convert to fraction form
    7,831.69/16,539.19 = 16,539.19/x
  3. Step 3: Cross multiply
    7,831.69x = 16,539.19 × 16,539.19
  4. Step 4: Simplify right side
    7,831.69x = 273,544,723.16
  5. Step 5: Solve for x
    x = 273,544,723.16/7,831.69
  6. Step 6: Final answer
    x = 34,927.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.