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Finding the Third Proportional to 32,941.69 and 71,846.37

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Solution

The third proportional to 32,941.69 and 71,846.37 is: 156,698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,941.69 : 71,846.37 = 71,846.37 : x
  2. Step 2: Convert to fraction form
    32,941.69/71,846.37 = 71,846.37/x
  3. Step 3: Cross multiply
    32,941.69x = 71,846.37 × 71,846.37
  4. Step 4: Simplify right side
    32,941.69x = 5,161,900,478.04
  5. Step 5: Solve for x
    x = 5,161,900,478.04/32,941.69
  6. Step 6: Final answer
    x = 156,698.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.