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Finding the Third Proportional to 26,366 and 35,793

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Solution

The third proportional to 26,366 and 35,793 is: 48,590.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,366 : 35,793 = 35,793 : x
  2. Step 2: Convert to fraction form
    26,366/35,793 = 35,793/x
  3. Step 3: Cross multiply
    26,366x = 35,793 × 35,793
  4. Step 4: Simplify right side
    26,366x = 1,281,138,849
  5. Step 5: Solve for x
    x = 1,281,138,849/26,366
  6. Step 6: Final answer
    x = 48,590.57

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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.