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Finding the Third Proportional to 43,033.75 and 61,980.75

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Solution

The third proportional to 43,033.75 and 61,980.75 is: 89,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,033.75 : 61,980.75 = 61,980.75 : x
  2. Step 2: Convert to fraction form
    43,033.75/61,980.75 = 61,980.75/x
  3. Step 3: Cross multiply
    43,033.75x = 61,980.75 × 61,980.75
  4. Step 4: Simplify right side
    43,033.75x = 3,841,613,370.56
  5. Step 5: Solve for x
    x = 3,841,613,370.56/43,033.75
  6. Step 6: Final answer
    x = 89,269.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.