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Finding the Third Proportional to 7,096.36 and 16,727.77

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Solution

The third proportional to 7,096.36 and 16,727.77 is: 39,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.36 : 16,727.77 = 16,727.77 : x
  2. Step 2: Convert to fraction form
    7,096.36/16,727.77 = 16,727.77/x
  3. Step 3: Cross multiply
    7,096.36x = 16,727.77 × 16,727.77
  4. Step 4: Simplify right side
    7,096.36x = 279,818,142.80
  5. Step 5: Solve for x
    x = 279,818,142.80/7,096.36
  6. Step 6: Final answer
    x = 39,431.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.