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Finding the Third Proportional to 37,801.69 and 50,566.78

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Solution

The third proportional to 37,801.69 and 50,566.78 is: 67,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,801.69 : 50,566.78 = 50,566.78 : x
  2. Step 2: Convert to fraction form
    37,801.69/50,566.78 = 50,566.78/x
  3. Step 3: Cross multiply
    37,801.69x = 50,566.78 × 50,566.78
  4. Step 4: Simplify right side
    37,801.69x = 2,556,999,365.99
  5. Step 5: Solve for x
    x = 2,556,999,365.99/37,801.69
  6. Step 6: Final answer
    x = 67,642.47

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.