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Finding the Third Proportional to 34,643.50 and 76,107

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Solution

The third proportional to 34,643.50 and 76,107 is: 167,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,643.50 : 76,107 = 76,107 : x
  2. Step 2: Convert to fraction form
    34,643.50/76,107 = 76,107/x
  3. Step 3: Cross multiply
    34,643.50x = 76,107 × 76,107
  4. Step 4: Simplify right side
    34,643.50x = 5,792,275,449
  5. Step 5: Solve for x
    x = 5,792,275,449/34,643.50
  6. Step 6: Final answer
    x = 167,196.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.