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Finding the Third Proportional to 20,064 and 41,544

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Solution

The third proportional to 20,064 and 41,544 is: 86,019.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,064 : 41,544 = 41,544 : x
  2. Step 2: Convert to fraction form
    20,064/41,544 = 41,544/x
  3. Step 3: Cross multiply
    20,064x = 41,544 × 41,544
  4. Step 4: Simplify right side
    20,064x = 1,725,903,936
  5. Step 5: Solve for x
    x = 1,725,903,936/20,064
  6. Step 6: Final answer
    x = 86,019.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.