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Finding the Third Proportional to 8,523 and 14,082.75

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Solution

The third proportional to 8,523 and 14,082.75 is: 23,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523 : 14,082.75 = 14,082.75 : x
  2. Step 2: Convert to fraction form
    8,523/14,082.75 = 14,082.75/x
  3. Step 3: Cross multiply
    8,523x = 14,082.75 × 14,082.75
  4. Step 4: Simplify right side
    8,523x = 198,323,847.56
  5. Step 5: Solve for x
    x = 198,323,847.56/8,523
  6. Step 6: Final answer
    x = 23,269.25

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.