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Finding the Third Proportional to 26,644 and 35,358

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Solution

The third proportional to 26,644 and 35,358 is: 46,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,644 : 35,358 = 35,358 : x
  2. Step 2: Convert to fraction form
    26,644/35,358 = 35,358/x
  3. Step 3: Cross multiply
    26,644x = 35,358 × 35,358
  4. Step 4: Simplify right side
    26,644x = 1,250,188,164
  5. Step 5: Solve for x
    x = 1,250,188,164/26,644
  6. Step 6: Final answer
    x = 46,921.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.