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Finding the Third Proportional to 34,640.16 and 74,622.52

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Solution

The third proportional to 34,640.16 and 74,622.52 is: 160,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,640.16 : 74,622.52 = 74,622.52 : x
  2. Step 2: Convert to fraction form
    34,640.16/74,622.52 = 74,622.52/x
  3. Step 3: Cross multiply
    34,640.16x = 74,622.52 × 74,622.52
  4. Step 4: Simplify right side
    34,640.16x = 5,568,519,838.20
  5. Step 5: Solve for x
    x = 5,568,519,838.20/34,640.16
  6. Step 6: Final answer
    x = 160,753.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.