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Finding the Third Proportional to 13,826 and 24,857

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Solution

The third proportional to 13,826 and 24,857 is: 44,689.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826 : 24,857 = 24,857 : x
  2. Step 2: Convert to fraction form
    13,826/24,857 = 24,857/x
  3. Step 3: Cross multiply
    13,826x = 24,857 × 24,857
  4. Step 4: Simplify right side
    13,826x = 617,870,449
  5. Step 5: Solve for x
    x = 617,870,449/13,826
  6. Step 6: Final answer
    x = 44,689.02

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.