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Finding the Third Proportional to 9,396.56 and 13,787.44

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Solution

The third proportional to 9,396.56 and 13,787.44 is: 20,230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.56 : 13,787.44 = 13,787.44 : x
  2. Step 2: Convert to fraction form
    9,396.56/13,787.44 = 13,787.44/x
  3. Step 3: Cross multiply
    9,396.56x = 13,787.44 × 13,787.44
  4. Step 4: Simplify right side
    9,396.56x = 190,093,432.82
  5. Step 5: Solve for x
    x = 190,093,432.82/9,396.56
  6. Step 6: Final answer
    x = 20,230.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.