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Finding the Third Proportional to 34,651.69 and 82,220.06

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Solution

The third proportional to 34,651.69 and 82,220.06 is: 195,088.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651.69 : 82,220.06 = 82,220.06 : x
  2. Step 2: Convert to fraction form
    34,651.69/82,220.06 = 82,220.06/x
  3. Step 3: Cross multiply
    34,651.69x = 82,220.06 × 82,220.06
  4. Step 4: Simplify right side
    34,651.69x = 6,760,138,677.50
  5. Step 5: Solve for x
    x = 6,760,138,677.50/34,651.69
  6. Step 6: Final answer
    x = 195,088.30

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.