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Finding the Third Proportional to 43,833 and 62,024

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Solution

The third proportional to 43,833 and 62,024 is: 87,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,833 : 62,024 = 62,024 : x
  2. Step 2: Convert to fraction form
    43,833/62,024 = 62,024/x
  3. Step 3: Cross multiply
    43,833x = 62,024 × 62,024
  4. Step 4: Simplify right side
    43,833x = 3,846,976,576
  5. Step 5: Solve for x
    x = 3,846,976,576/43,833
  6. Step 6: Final answer
    x = 87,764.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.