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Finding the Third Proportional to 4,276.41 and 6,831.56

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Solution

The third proportional to 4,276.41 and 6,831.56 is: 10,913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.41 : 6,831.56 = 6,831.56 : x
  2. Step 2: Convert to fraction form
    4,276.41/6,831.56 = 6,831.56/x
  3. Step 3: Cross multiply
    4,276.41x = 6,831.56 × 6,831.56
  4. Step 4: Simplify right side
    4,276.41x = 46,670,246.19
  5. Step 5: Solve for x
    x = 46,670,246.19/4,276.41
  6. Step 6: Final answer
    x = 10,913.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.