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Finding the Third Proportional to 34,021.69 and 72,964.13

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Solution

The third proportional to 34,021.69 and 72,964.13 is: 156,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,021.69 : 72,964.13 = 72,964.13 : x
  2. Step 2: Convert to fraction form
    34,021.69/72,964.13 = 72,964.13/x
  3. Step 3: Cross multiply
    34,021.69x = 72,964.13 × 72,964.13
  4. Step 4: Simplify right side
    34,021.69x = 5,323,763,537.02
  5. Step 5: Solve for x
    x = 5,323,763,537.02/34,021.69
  6. Step 6: Final answer
    x = 156,481.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.