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Finding the Third Proportional to 33,751.69 and 47,962.13

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Solution

The third proportional to 33,751.69 and 47,962.13 is: 68,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,751.69 : 47,962.13 = 47,962.13 : x
  2. Step 2: Convert to fraction form
    33,751.69/47,962.13 = 47,962.13/x
  3. Step 3: Cross multiply
    33,751.69x = 47,962.13 × 47,962.13
  4. Step 4: Simplify right side
    33,751.69x = 2,300,365,434.52
  5. Step 5: Solve for x
    x = 2,300,365,434.52/33,751.69
  6. Step 6: Final answer
    x = 68,155.57

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