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Finding the Third Proportional to 18,102 and 24,705

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Solution

The third proportional to 18,102 and 24,705 is: 33,716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102 : 24,705 = 24,705 : x
  2. Step 2: Convert to fraction form
    18,102/24,705 = 24,705/x
  3. Step 3: Cross multiply
    18,102x = 24,705 × 24,705
  4. Step 4: Simplify right side
    18,102x = 610,337,025
  5. Step 5: Solve for x
    x = 610,337,025/18,102
  6. Step 6: Final answer
    x = 33,716.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.