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Finding the Third Proportional to 18,369 and 24,111

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Solution

The third proportional to 18,369 and 24,111 is: 31,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,369 : 24,111 = 24,111 : x
  2. Step 2: Convert to fraction form
    18,369/24,111 = 24,111/x
  3. Step 3: Cross multiply
    18,369x = 24,111 × 24,111
  4. Step 4: Simplify right side
    18,369x = 581,340,321
  5. Step 5: Solve for x
    x = 581,340,321/18,369
  6. Step 6: Final answer
    x = 31,647.90

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.