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Finding the Third Proportional to 33,341.50 and 51,592

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Solution

The third proportional to 33,341.50 and 51,592 is: 79,832.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,341.50 : 51,592 = 51,592 : x
  2. Step 2: Convert to fraction form
    33,341.50/51,592 = 51,592/x
  3. Step 3: Cross multiply
    33,341.50x = 51,592 × 51,592
  4. Step 4: Simplify right side
    33,341.50x = 2,661,734,464
  5. Step 5: Solve for x
    x = 2,661,734,464/33,341.50
  6. Step 6: Final answer
    x = 79,832.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.