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Finding the Third Proportional to 37,842.75 and 52,476.75

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Solution

The third proportional to 37,842.75 and 52,476.75 is: 72,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842.75 : 52,476.75 = 52,476.75 : x
  2. Step 2: Convert to fraction form
    37,842.75/52,476.75 = 52,476.75/x
  3. Step 3: Cross multiply
    37,842.75x = 52,476.75 × 52,476.75
  4. Step 4: Simplify right side
    37,842.75x = 2,753,809,290.56
  5. Step 5: Solve for x
    x = 2,753,809,290.56/37,842.75
  6. Step 6: Final answer
    x = 72,769.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.