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Finding the Third Proportional to 41,837.50 and 58,652

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Solution

The third proportional to 41,837.50 and 58,652 is: 82,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,837.50 : 58,652 = 58,652 : x
  2. Step 2: Convert to fraction form
    41,837.50/58,652 = 58,652/x
  3. Step 3: Cross multiply
    41,837.50x = 58,652 × 58,652
  4. Step 4: Simplify right side
    41,837.50x = 3,440,057,104
  5. Step 5: Solve for x
    x = 3,440,057,104/41,837.50
  6. Step 6: Final answer
    x = 82,224.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.