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Finding the Third Proportional to 15,731.44 and 30,665.81

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Solution

The third proportional to 15,731.44 and 30,665.81 is: 59,777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,731.44 : 30,665.81 = 30,665.81 : x
  2. Step 2: Convert to fraction form
    15,731.44/30,665.81 = 30,665.81/x
  3. Step 3: Cross multiply
    15,731.44x = 30,665.81 × 30,665.81
  4. Step 4: Simplify right side
    15,731.44x = 940,392,056.29
  5. Step 5: Solve for x
    x = 940,392,056.29/15,731.44
  6. Step 6: Final answer
    x = 59,777.88

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.