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Finding the Third Proportional to 24,854 and 33,213

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Solution

The third proportional to 24,854 and 33,213 is: 44,383.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854 : 33,213 = 33,213 : x
  2. Step 2: Convert to fraction form
    24,854/33,213 = 33,213/x
  3. Step 3: Cross multiply
    24,854x = 33,213 × 33,213
  4. Step 4: Simplify right side
    24,854x = 1,103,103,369
  5. Step 5: Solve for x
    x = 1,103,103,369/24,854
  6. Step 6: Final answer
    x = 44,383.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.