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Finding the Third Proportional to 31,836 and 43,083

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Solution

The third proportional to 31,836 and 43,083 is: 58,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,836 : 43,083 = 43,083 : x
  2. Step 2: Convert to fraction form
    31,836/43,083 = 43,083/x
  3. Step 3: Cross multiply
    31,836x = 43,083 × 43,083
  4. Step 4: Simplify right side
    31,836x = 1,856,144,889
  5. Step 5: Solve for x
    x = 1,856,144,889/31,836
  6. Step 6: Final answer
    x = 58,303.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.