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Finding the Third Proportional to 15,821.58 and 33,856.73

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Solution

The third proportional to 15,821.58 and 33,856.73 is: 72,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.58 : 33,856.73 = 33,856.73 : x
  2. Step 2: Convert to fraction form
    15,821.58/33,856.73 = 33,856.73/x
  3. Step 3: Cross multiply
    15,821.58x = 33,856.73 × 33,856.73
  4. Step 4: Simplify right side
    15,821.58x = 1,146,278,462.54
  5. Step 5: Solve for x
    x = 1,146,278,462.54/15,821.58
  6. Step 6: Final answer
    x = 72,450.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.