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Finding the Third Proportional to 40,896 and 83,512

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Solution

The third proportional to 40,896 and 83,512 is: 170,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,896 : 83,512 = 83,512 : x
  2. Step 2: Convert to fraction form
    40,896/83,512 = 83,512/x
  3. Step 3: Cross multiply
    40,896x = 83,512 × 83,512
  4. Step 4: Simplify right side
    40,896x = 6,974,254,144
  5. Step 5: Solve for x
    x = 6,974,254,144/40,896
  6. Step 6: Final answer
    x = 170,536.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.