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Finding the Third Proportional to 41,824 and 90,044

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Solution

The third proportional to 41,824 and 90,044 is: 193,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,824 : 90,044 = 90,044 : x
  2. Step 2: Convert to fraction form
    41,824/90,044 = 90,044/x
  3. Step 3: Cross multiply
    41,824x = 90,044 × 90,044
  4. Step 4: Simplify right side
    41,824x = 8,107,921,936
  5. Step 5: Solve for x
    x = 8,107,921,936/41,824
  6. Step 6: Final answer
    x = 193,858.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.