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Finding the Third Proportional to 16,002.56 and 33,660.56

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Solution

The third proportional to 16,002.56 and 33,660.56 is: 70,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.56 : 33,660.56 = 33,660.56 : x
  2. Step 2: Convert to fraction form
    16,002.56/33,660.56 = 33,660.56/x
  3. Step 3: Cross multiply
    16,002.56x = 33,660.56 × 33,660.56
  4. Step 4: Simplify right side
    16,002.56x = 1,133,033,467.82
  5. Step 5: Solve for x
    x = 1,133,033,467.82/16,002.56
  6. Step 6: Final answer
    x = 70,803.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.