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Finding the Third Proportional to 6,849.56 and 14,982.47

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Solution

The third proportional to 6,849.56 and 14,982.47 is: 32,772.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.56 : 14,982.47 = 14,982.47 : x
  2. Step 2: Convert to fraction form
    6,849.56/14,982.47 = 14,982.47/x
  3. Step 3: Cross multiply
    6,849.56x = 14,982.47 × 14,982.47
  4. Step 4: Simplify right side
    6,849.56x = 224,474,369.84
  5. Step 5: Solve for x
    x = 224,474,369.84/6,849.56
  6. Step 6: Final answer
    x = 32,772.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.