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Finding the Third Proportional to 9,492.75 and 16,481.25

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Solution

The third proportional to 9,492.75 and 16,481.25 is: 28,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.75 : 16,481.25 = 16,481.25 : x
  2. Step 2: Convert to fraction form
    9,492.75/16,481.25 = 16,481.25/x
  3. Step 3: Cross multiply
    9,492.75x = 16,481.25 × 16,481.25
  4. Step 4: Simplify right side
    9,492.75x = 271,631,601.56
  5. Step 5: Solve for x
    x = 271,631,601.56/9,492.75
  6. Step 6: Final answer
    x = 28,614.64

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.