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Finding the Third Proportional to 17,927 and 38,963

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Solution

The third proportional to 17,927 and 38,963 is: 84,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,927 : 38,963 = 38,963 : x
  2. Step 2: Convert to fraction form
    17,927/38,963 = 38,963/x
  3. Step 3: Cross multiply
    17,927x = 38,963 × 38,963
  4. Step 4: Simplify right side
    17,927x = 1,518,115,369
  5. Step 5: Solve for x
    x = 1,518,115,369/17,927
  6. Step 6: Final answer
    x = 84,683.18

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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.