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Finding the Third Proportional to 13,863 and 24,648

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Solution

The third proportional to 13,863 and 24,648 is: 43,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863 : 24,648 = 24,648 : x
  2. Step 2: Convert to fraction form
    13,863/24,648 = 24,648/x
  3. Step 3: Cross multiply
    13,863x = 24,648 × 24,648
  4. Step 4: Simplify right side
    13,863x = 607,523,904
  5. Step 5: Solve for x
    x = 607,523,904/13,863
  6. Step 6: Final answer
    x = 43,823.41

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.