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Finding the Third Proportional to 26,400 and 35,864

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Solution

The third proportional to 26,400 and 35,864 is: 48,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,400 : 35,864 = 35,864 : x
  2. Step 2: Convert to fraction form
    26,400/35,864 = 35,864/x
  3. Step 3: Cross multiply
    26,400x = 35,864 × 35,864
  4. Step 4: Simplify right side
    26,400x = 1,286,226,496
  5. Step 5: Solve for x
    x = 1,286,226,496/26,400
  6. Step 6: Final answer
    x = 48,720.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.