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Finding the Third Proportional to 31,833 and 74,342.81

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Solution

The third proportional to 31,833 and 74,342.81 is: 173,620.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833 : 74,342.81 = 74,342.81 : x
  2. Step 2: Convert to fraction form
    31,833/74,342.81 = 74,342.81/x
  3. Step 3: Cross multiply
    31,833x = 74,342.81 × 74,342.81
  4. Step 4: Simplify right side
    31,833x = 5,526,853,770.41
  5. Step 5: Solve for x
    x = 5,526,853,770.41/31,833
  6. Step 6: Final answer
    x = 173,620.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.