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Finding the Third Proportional to 43,704 and 93,639.38

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Solution

The third proportional to 43,704 and 93,639.38 is: 200,629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,704 : 93,639.38 = 93,639.38 : x
  2. Step 2: Convert to fraction form
    43,704/93,639.38 = 93,639.38/x
  3. Step 3: Cross multiply
    43,704x = 93,639.38 × 93,639.38
  4. Step 4: Simplify right side
    43,704x = 8,768,332,550.39
  5. Step 5: Solve for x
    x = 8,768,332,550.39/43,704
  6. Step 6: Final answer
    x = 200,629.98

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Why These Related Problems?

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