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Finding the Third Proportional to 41,526 and 96,994.13

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Solution

The third proportional to 41,526 and 96,994.13 is: 226,553.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,526 : 96,994.13 = 96,994.13 : x
  2. Step 2: Convert to fraction form
    41,526/96,994.13 = 96,994.13/x
  3. Step 3: Cross multiply
    41,526x = 96,994.13 × 96,994.13
  4. Step 4: Simplify right side
    41,526x = 9,407,860,284.52
  5. Step 5: Solve for x
    x = 9,407,860,284.52/41,526
  6. Step 6: Final answer
    x = 226,553.49

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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.