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Finding the Third Proportional to 26,634 and 36,062

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Solution

The third proportional to 26,634 and 36,062 is: 48,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,634 : 36,062 = 36,062 : x
  2. Step 2: Convert to fraction form
    26,634/36,062 = 36,062/x
  3. Step 3: Cross multiply
    26,634x = 36,062 × 36,062
  4. Step 4: Simplify right side
    26,634x = 1,300,467,844
  5. Step 5: Solve for x
    x = 1,300,467,844/26,634
  6. Step 6: Final answer
    x = 48,827.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.