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Finding the Third Proportional to 26,706 and 37,567

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Solution

The third proportional to 26,706 and 37,567 is: 52,845.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706 : 37,567 = 37,567 : x
  2. Step 2: Convert to fraction form
    26,706/37,567 = 37,567/x
  3. Step 3: Cross multiply
    26,706x = 37,567 × 37,567
  4. Step 4: Simplify right side
    26,706x = 1,411,279,489
  5. Step 5: Solve for x
    x = 1,411,279,489/26,706
  6. Step 6: Final answer
    x = 52,845.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.