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Finding the Third Proportional to 33,184.69 and 42,570.56

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Solution

The third proportional to 33,184.69 and 42,570.56 is: 54,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,184.69 : 42,570.56 = 42,570.56 : x
  2. Step 2: Convert to fraction form
    33,184.69/42,570.56 = 42,570.56/x
  3. Step 3: Cross multiply
    33,184.69x = 42,570.56 × 42,570.56
  4. Step 4: Simplify right side
    33,184.69x = 1,812,252,791.57
  5. Step 5: Solve for x
    x = 1,812,252,791.57/33,184.69
  6. Step 6: Final answer
    x = 54,611.12

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.