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Finding the Third Proportional to 17,456.63 and 37,680.75

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Solution

The third proportional to 17,456.63 and 37,680.75 is: 81,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,456.63 : 37,680.75 = 37,680.75 : x
  2. Step 2: Convert to fraction form
    17,456.63/37,680.75 = 37,680.75/x
  3. Step 3: Cross multiply
    17,456.63x = 37,680.75 × 37,680.75
  4. Step 4: Simplify right side
    17,456.63x = 1,419,838,920.56
  5. Step 5: Solve for x
    x = 1,419,838,920.56/17,456.63
  6. Step 6: Final answer
    x = 81,335.25

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