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Finding the Third Proportional to 43,684 and 94,786

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Solution

The third proportional to 43,684 and 94,786 is: 205,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,684 : 94,786 = 94,786 : x
  2. Step 2: Convert to fraction form
    43,684/94,786 = 94,786/x
  3. Step 3: Cross multiply
    43,684x = 94,786 × 94,786
  4. Step 4: Simplify right side
    43,684x = 8,984,385,796
  5. Step 5: Solve for x
    x = 8,984,385,796/43,684
  6. Step 6: Final answer
    x = 205,667.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.