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Finding the Third Proportional to 43,552.69 and 71,983.69

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Solution

The third proportional to 43,552.69 and 71,983.69 is: 118,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,552.69 : 71,983.69 = 71,983.69 : x
  2. Step 2: Convert to fraction form
    43,552.69/71,983.69 = 71,983.69/x
  3. Step 3: Cross multiply
    43,552.69x = 71,983.69 × 71,983.69
  4. Step 4: Simplify right side
    43,552.69x = 5,181,651,266.10
  5. Step 5: Solve for x
    x = 5,181,651,266.10/43,552.69
  6. Step 6: Final answer
    x = 118,974.32

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.