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Finding the Third Proportional to 27,684 and 43,371

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Solution

The third proportional to 27,684 and 43,371 is: 67,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684 : 43,371 = 43,371 : x
  2. Step 2: Convert to fraction form
    27,684/43,371 = 43,371/x
  3. Step 3: Cross multiply
    27,684x = 43,371 × 43,371
  4. Step 4: Simplify right side
    27,684x = 1,881,043,641
  5. Step 5: Solve for x
    x = 1,881,043,641/27,684
  6. Step 6: Final answer
    x = 67,946.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.