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Finding the Third Proportional to 26,827 and 40,817

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Solution

The third proportional to 26,827 and 40,817 is: 62,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,827 : 40,817 = 40,817 : x
  2. Step 2: Convert to fraction form
    26,827/40,817 = 40,817/x
  3. Step 3: Cross multiply
    26,827x = 40,817 × 40,817
  4. Step 4: Simplify right side
    26,827x = 1,666,027,489
  5. Step 5: Solve for x
    x = 1,666,027,489/26,827
  6. Step 6: Final answer
    x = 62,102.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.