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Finding the Third Proportional to 34,792.03 and 77,552.44

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Solution

The third proportional to 34,792.03 and 77,552.44 is: 172,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,792.03 : 77,552.44 = 77,552.44 : x
  2. Step 2: Convert to fraction form
    34,792.03/77,552.44 = 77,552.44/x
  3. Step 3: Cross multiply
    34,792.03x = 77,552.44 × 77,552.44
  4. Step 4: Simplify right side
    34,792.03x = 6,014,380,562.19
  5. Step 5: Solve for x
    x = 6,014,380,562.19/34,792.03
  6. Step 6: Final answer
    x = 172,866.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.