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Finding the Third Proportional to 26,064 and 35,856

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Solution

The third proportional to 26,064 and 35,856 is: 49,326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,064 : 35,856 = 35,856 : x
  2. Step 2: Convert to fraction form
    26,064/35,856 = 35,856/x
  3. Step 3: Cross multiply
    26,064x = 35,856 × 35,856
  4. Step 4: Simplify right side
    26,064x = 1,285,652,736
  5. Step 5: Solve for x
    x = 1,285,652,736/26,064
  6. Step 6: Final answer
    x = 49,326.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.