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Finding the Third Proportional to 17,971 and 38,668

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Solution

The third proportional to 17,971 and 38,668 is: 83,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971 : 38,668 = 38,668 : x
  2. Step 2: Convert to fraction form
    17,971/38,668 = 38,668/x
  3. Step 3: Cross multiply
    17,971x = 38,668 × 38,668
  4. Step 4: Simplify right side
    17,971x = 1,495,214,224
  5. Step 5: Solve for x
    x = 1,495,214,224/17,971
  6. Step 6: Final answer
    x = 83,201.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.