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Finding the Third Proportional to 10,893 and 23,886

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Solution

The third proportional to 10,893 and 23,886 is: 52,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893 : 23,886 = 23,886 : x
  2. Step 2: Convert to fraction form
    10,893/23,886 = 23,886/x
  3. Step 3: Cross multiply
    10,893x = 23,886 × 23,886
  4. Step 4: Simplify right side
    10,893x = 570,540,996
  5. Step 5: Solve for x
    x = 570,540,996/10,893
  6. Step 6: Final answer
    x = 52,376.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.