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Finding the Third Proportional to 36,929 and 55,254

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Solution

The third proportional to 36,929 and 55,254 is: 82,672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,929 : 55,254 = 55,254 : x
  2. Step 2: Convert to fraction form
    36,929/55,254 = 55,254/x
  3. Step 3: Cross multiply
    36,929x = 55,254 × 55,254
  4. Step 4: Simplify right side
    36,929x = 3,053,004,516
  5. Step 5: Solve for x
    x = 3,053,004,516/36,929
  6. Step 6: Final answer
    x = 82,672.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.