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Finding the Third Proportional to 8,224 and 15,412

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Solution

The third proportional to 8,224 and 15,412 is: 28,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224 : 15,412 = 15,412 : x
  2. Step 2: Convert to fraction form
    8,224/15,412 = 15,412/x
  3. Step 3: Cross multiply
    8,224x = 15,412 × 15,412
  4. Step 4: Simplify right side
    8,224x = 237,529,744
  5. Step 5: Solve for x
    x = 237,529,744/8,224
  6. Step 6: Final answer
    x = 28,882.51

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.