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Finding the Third Proportional to 4,406.91 and 6,831.84

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Solution

The third proportional to 4,406.91 and 6,831.84 is: 10,591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.91 : 6,831.84 = 6,831.84 : x
  2. Step 2: Convert to fraction form
    4,406.91/6,831.84 = 6,831.84/x
  3. Step 3: Cross multiply
    4,406.91x = 6,831.84 × 6,831.84
  4. Step 4: Simplify right side
    4,406.91x = 46,674,089.02
  5. Step 5: Solve for x
    x = 46,674,089.02/4,406.91
  6. Step 6: Final answer
    x = 10,591.12

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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.