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Finding the Third Proportional to 3,831.05 and 4,702.43

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Solution

The third proportional to 3,831.05 and 4,702.43 is: 5,772.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.05 : 4,702.43 = 4,702.43 : x
  2. Step 2: Convert to fraction form
    3,831.05/4,702.43 = 4,702.43/x
  3. Step 3: Cross multiply
    3,831.05x = 4,702.43 × 4,702.43
  4. Step 4: Simplify right side
    3,831.05x = 22,112,844.97
  5. Step 5: Solve for x
    x = 22,112,844.97/3,831.05
  6. Step 6: Final answer
    x = 5,772.01

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.