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Finding the Third Proportional to 16,089.57 and 33,297.96

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Solution

The third proportional to 16,089.57 and 33,297.96 is: 68,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,089.57 : 33,297.96 = 33,297.96 : x
  2. Step 2: Convert to fraction form
    16,089.57/33,297.96 = 33,297.96/x
  3. Step 3: Cross multiply
    16,089.57x = 33,297.96 × 33,297.96
  4. Step 4: Simplify right side
    16,089.57x = 1,108,754,202.60
  5. Step 5: Solve for x
    x = 1,108,754,202.60/16,089.57
  6. Step 6: Final answer
    x = 68,911.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.