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Finding the Third Proportional to 37,720.34 and 81,928.27

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Solution

The third proportional to 37,720.34 and 81,928.27 is: 177,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,720.34 : 81,928.27 = 81,928.27 : x
  2. Step 2: Convert to fraction form
    37,720.34/81,928.27 = 81,928.27/x
  3. Step 3: Cross multiply
    37,720.34x = 81,928.27 × 81,928.27
  4. Step 4: Simplify right side
    37,720.34x = 6,712,240,708.32
  5. Step 5: Solve for x
    x = 6,712,240,708.32/37,720.34
  6. Step 6: Final answer
    x = 177,947.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.