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Finding the Third Proportional to 6,936.89 and 14,739.47

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Solution

The third proportional to 6,936.89 and 14,739.47 is: 31,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.89 : 14,739.47 = 14,739.47 : x
  2. Step 2: Convert to fraction form
    6,936.89/14,739.47 = 14,739.47/x
  3. Step 3: Cross multiply
    6,936.89x = 14,739.47 × 14,739.47
  4. Step 4: Simplify right side
    6,936.89x = 217,251,939.03
  5. Step 5: Solve for x
    x = 217,251,939.03/6,936.89
  6. Step 6: Final answer
    x = 31,318.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.