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Finding the Third Proportional to 37,999.13 and 99,690.75

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Solution

The third proportional to 37,999.13 and 99,690.75 is: 261,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,999.13 : 99,690.75 = 99,690.75 : x
  2. Step 2: Convert to fraction form
    37,999.13/99,690.75 = 99,690.75/x
  3. Step 3: Cross multiply
    37,999.13x = 99,690.75 × 99,690.75
  4. Step 4: Simplify right side
    37,999.13x = 9,938,245,635.56
  5. Step 5: Solve for x
    x = 9,938,245,635.56/37,999.13
  6. Step 6: Final answer
    x = 261,538.80

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.