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Finding the Third Proportional to 9,396.75 and 14,633.25

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Solution

The third proportional to 9,396.75 and 14,633.25 is: 22,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.75 : 14,633.25 = 14,633.25 : x
  2. Step 2: Convert to fraction form
    9,396.75/14,633.25 = 14,633.25/x
  3. Step 3: Cross multiply
    9,396.75x = 14,633.25 × 14,633.25
  4. Step 4: Simplify right side
    9,396.75x = 214,132,005.56
  5. Step 5: Solve for x
    x = 214,132,005.56/9,396.75
  6. Step 6: Final answer
    x = 22,787.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.