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Finding the Third Proportional to 17,971.50 and 38,751

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Solution

The third proportional to 17,971.50 and 38,751 is: 83,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.50 : 38,751 = 38,751 : x
  2. Step 2: Convert to fraction form
    17,971.50/38,751 = 38,751/x
  3. Step 3: Cross multiply
    17,971.50x = 38,751 × 38,751
  4. Step 4: Simplify right side
    17,971.50x = 1,501,640,001
  5. Step 5: Solve for x
    x = 1,501,640,001/17,971.50
  6. Step 6: Final answer
    x = 83,556.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.