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Finding the Third Proportional to 6,809.06 and 14,787.56

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Solution

The third proportional to 6,809.06 and 14,787.56 is: 32,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.06 : 14,787.56 = 14,787.56 : x
  2. Step 2: Convert to fraction form
    6,809.06/14,787.56 = 14,787.56/x
  3. Step 3: Cross multiply
    6,809.06x = 14,787.56 × 14,787.56
  4. Step 4: Simplify right side
    6,809.06x = 218,672,004.69
  5. Step 5: Solve for x
    x = 218,672,004.69/6,809.06
  6. Step 6: Final answer
    x = 32,114.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.