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Finding the Third Proportional to 26,704 and 37,564

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Solution

The third proportional to 26,704 and 37,564 is: 52,840.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,704 : 37,564 = 37,564 : x
  2. Step 2: Convert to fraction form
    26,704/37,564 = 37,564/x
  3. Step 3: Cross multiply
    26,704x = 37,564 × 37,564
  4. Step 4: Simplify right side
    26,704x = 1,411,054,096
  5. Step 5: Solve for x
    x = 1,411,054,096/26,704
  6. Step 6: Final answer
    x = 52,840.55

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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.