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Finding the Third Proportional to 10,954 and 24,833

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Solution

The third proportional to 10,954 and 24,833 is: 56,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954 : 24,833 = 24,833 : x
  2. Step 2: Convert to fraction form
    10,954/24,833 = 24,833/x
  3. Step 3: Cross multiply
    10,954x = 24,833 × 24,833
  4. Step 4: Simplify right side
    10,954x = 616,677,889
  5. Step 5: Solve for x
    x = 616,677,889/10,954
  6. Step 6: Final answer
    x = 56,297.05

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.