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Finding the Third Proportional to 16,777 and 38,254

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Solution

The third proportional to 16,777 and 38,254 is: 87,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,777 : 38,254 = 38,254 : x
  2. Step 2: Convert to fraction form
    16,777/38,254 = 38,254/x
  3. Step 3: Cross multiply
    16,777x = 38,254 × 38,254
  4. Step 4: Simplify right side
    16,777x = 1,463,368,516
  5. Step 5: Solve for x
    x = 1,463,368,516/16,777
  6. Step 6: Final answer
    x = 87,224.68

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.