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Finding the Third Proportional to 34,626.94 and 74,791.13

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Solution

The third proportional to 34,626.94 and 74,791.13 is: 161,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,626.94 : 74,791.13 = 74,791.13 : x
  2. Step 2: Convert to fraction form
    34,626.94/74,791.13 = 74,791.13/x
  3. Step 3: Cross multiply
    34,626.94x = 74,791.13 × 74,791.13
  4. Step 4: Simplify right side
    34,626.94x = 5,593,712,378.77
  5. Step 5: Solve for x
    x = 5,593,712,378.77/34,626.94
  6. Step 6: Final answer
    x = 161,542.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.