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Finding the Third Proportional to 40,896 and 63,296

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Solution

The third proportional to 40,896 and 63,296 is: 97,965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,896 : 63,296 = 63,296 : x
  2. Step 2: Convert to fraction form
    40,896/63,296 = 63,296/x
  3. Step 3: Cross multiply
    40,896x = 63,296 × 63,296
  4. Step 4: Simplify right side
    40,896x = 4,006,383,616
  5. Step 5: Solve for x
    x = 4,006,383,616/40,896
  6. Step 6: Final answer
    x = 97,965.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.