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Finding the Third Proportional to 20,256 and 29,616

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Solution

The third proportional to 20,256 and 29,616 is: 43,301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,256 : 29,616 = 29,616 : x
  2. Step 2: Convert to fraction form
    20,256/29,616 = 29,616/x
  3. Step 3: Cross multiply
    20,256x = 29,616 × 29,616
  4. Step 4: Simplify right side
    20,256x = 877,107,456
  5. Step 5: Solve for x
    x = 877,107,456/20,256
  6. Step 6: Final answer
    x = 43,301.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.