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Finding the Third Proportional to 17,971.88 and 38,221.88

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Solution

The third proportional to 17,971.88 and 38,221.88 is: 81,288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.88 : 38,221.88 = 38,221.88 : x
  2. Step 2: Convert to fraction form
    17,971.88/38,221.88 = 38,221.88/x
  3. Step 3: Cross multiply
    17,971.88x = 38,221.88 × 38,221.88
  4. Step 4: Simplify right side
    17,971.88x = 1,460,911,728.52
  5. Step 5: Solve for x
    x = 1,460,911,728.52/17,971.88
  6. Step 6: Final answer
    x = 81,288.78

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.