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Finding the Third Proportional to 16,256 and 39,552

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Solution

The third proportional to 16,256 and 39,552 is: 96,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256 : 39,552 = 39,552 : x
  2. Step 2: Convert to fraction form
    16,256/39,552 = 39,552/x
  3. Step 3: Cross multiply
    16,256x = 39,552 × 39,552
  4. Step 4: Simplify right side
    16,256x = 1,564,360,704
  5. Step 5: Solve for x
    x = 1,564,360,704/16,256
  6. Step 6: Final answer
    x = 96,232.82

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.