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Finding the Third Proportional to 39,793 and 62,111

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Solution

The third proportional to 39,793 and 62,111 is: 96,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,793 : 62,111 = 62,111 : x
  2. Step 2: Convert to fraction form
    39,793/62,111 = 62,111/x
  3. Step 3: Cross multiply
    39,793x = 62,111 × 62,111
  4. Step 4: Simplify right side
    39,793x = 3,857,776,321
  5. Step 5: Solve for x
    x = 3,857,776,321/39,793
  6. Step 6: Final answer
    x = 96,946.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.