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Finding the Third Proportional to 43,684 and 69,278

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Solution

The third proportional to 43,684 and 69,278 is: 109,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,684 : 69,278 = 69,278 : x
  2. Step 2: Convert to fraction form
    43,684/69,278 = 69,278/x
  3. Step 3: Cross multiply
    43,684x = 69,278 × 69,278
  4. Step 4: Simplify right side
    43,684x = 4,799,441,284
  5. Step 5: Solve for x
    x = 4,799,441,284/43,684
  6. Step 6: Final answer
    x = 109,867.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.