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Finding the Third Proportional to 26,764 and 41,575

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Solution

The third proportional to 26,764 and 41,575 is: 64,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,764 : 41,575 = 41,575 : x
  2. Step 2: Convert to fraction form
    26,764/41,575 = 41,575/x
  3. Step 3: Cross multiply
    26,764x = 41,575 × 41,575
  4. Step 4: Simplify right side
    26,764x = 1,728,480,625
  5. Step 5: Solve for x
    x = 1,728,480,625/26,764
  6. Step 6: Final answer
    x = 64,582.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.