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Finding the Third Proportional to 6,816.66 and 14,972.34

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Solution

The third proportional to 6,816.66 and 14,972.34 is: 32,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.66 : 14,972.34 = 14,972.34 : x
  2. Step 2: Convert to fraction form
    6,816.66/14,972.34 = 14,972.34/x
  3. Step 3: Cross multiply
    6,816.66x = 14,972.34 × 14,972.34
  4. Step 4: Simplify right side
    6,816.66x = 224,171,077.37
  5. Step 5: Solve for x
    x = 224,171,077.37/6,816.66
  6. Step 6: Final answer
    x = 32,885.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.