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Finding the Third Proportional to 3,237.94 and 6,992.81

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Solution

The third proportional to 3,237.94 and 6,992.81 is: 15,102.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.94 : 6,992.81 = 6,992.81 : x
  2. Step 2: Convert to fraction form
    3,237.94/6,992.81 = 6,992.81/x
  3. Step 3: Cross multiply
    3,237.94x = 6,992.81 × 6,992.81
  4. Step 4: Simplify right side
    3,237.94x = 48,899,426.66
  5. Step 5: Solve for x
    x = 48,899,426.66/3,237.94
  6. Step 6: Final answer
    x = 15,102.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.