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Finding the Third Proportional to 8,496 and 18,023

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Solution

The third proportional to 8,496 and 18,023 is: 38,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496 : 18,023 = 18,023 : x
  2. Step 2: Convert to fraction form
    8,496/18,023 = 18,023/x
  3. Step 3: Cross multiply
    8,496x = 18,023 × 18,023
  4. Step 4: Simplify right side
    8,496x = 324,828,529
  5. Step 5: Solve for x
    x = 324,828,529/8,496
  6. Step 6: Final answer
    x = 38,233.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.