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Finding the Third Proportional to 34,021.69 and 36,573.19

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Solution

The third proportional to 34,021.69 and 36,573.19 is: 39,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,021.69 : 36,573.19 = 36,573.19 : x
  2. Step 2: Convert to fraction form
    34,021.69/36,573.19 = 36,573.19/x
  3. Step 3: Cross multiply
    34,021.69x = 36,573.19 × 36,573.19
  4. Step 4: Simplify right side
    34,021.69x = 1,337,598,043.91
  5. Step 5: Solve for x
    x = 1,337,598,043.91/34,021.69
  6. Step 6: Final answer
    x = 39,316.04

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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.