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Finding the Third Proportional to 8,492.75 and 18,713.50

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Solution

The third proportional to 8,492.75 and 18,713.50 is: 41,234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.75 : 18,713.50 = 18,713.50 : x
  2. Step 2: Convert to fraction form
    8,492.75/18,713.50 = 18,713.50/x
  3. Step 3: Cross multiply
    8,492.75x = 18,713.50 × 18,713.50
  4. Step 4: Simplify right side
    8,492.75x = 350,195,082.25
  5. Step 5: Solve for x
    x = 350,195,082.25/8,492.75
  6. Step 6: Final answer
    x = 41,234.59

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Why These Related Problems?

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