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Finding the Third Proportional to 18,194 and 24,695

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Solution

The third proportional to 18,194 and 24,695 is: 33,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,194 : 24,695 = 24,695 : x
  2. Step 2: Convert to fraction form
    18,194/24,695 = 24,695/x
  3. Step 3: Cross multiply
    18,194x = 24,695 × 24,695
  4. Step 4: Simplify right side
    18,194x = 609,843,025
  5. Step 5: Solve for x
    x = 609,843,025/18,194
  6. Step 6: Final answer
    x = 33,518.91

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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.