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Finding the Third Proportional to 33,096 and 77,536

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Solution

The third proportional to 33,096 and 77,536 is: 181,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,096 : 77,536 = 77,536 : x
  2. Step 2: Convert to fraction form
    33,096/77,536 = 77,536/x
  3. Step 3: Cross multiply
    33,096x = 77,536 × 77,536
  4. Step 4: Simplify right side
    33,096x = 6,011,831,296
  5. Step 5: Solve for x
    x = 6,011,831,296/33,096
  6. Step 6: Final answer
    x = 181,648.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.