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Finding the Third Proportional to 12,864 and 26,085

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Solution

The third proportional to 12,864 and 26,085 is: 52,893.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864 : 26,085 = 26,085 : x
  2. Step 2: Convert to fraction form
    12,864/26,085 = 26,085/x
  3. Step 3: Cross multiply
    12,864x = 26,085 × 26,085
  4. Step 4: Simplify right side
    12,864x = 680,427,225
  5. Step 5: Solve for x
    x = 680,427,225/12,864
  6. Step 6: Final answer
    x = 52,893.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.