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Finding the Third Proportional to 7,787.39 and 17,132.34

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Solution

The third proportional to 7,787.39 and 17,132.34 is: 37,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.39 : 17,132.34 = 17,132.34 : x
  2. Step 2: Convert to fraction form
    7,787.39/17,132.34 = 17,132.34/x
  3. Step 3: Cross multiply
    7,787.39x = 17,132.34 × 17,132.34
  4. Step 4: Simplify right side
    7,787.39x = 293,517,202.37
  5. Step 5: Solve for x
    x = 293,517,202.37/7,787.39
  6. Step 6: Final answer
    x = 37,691.34

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