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Finding the Third Proportional to 40,965.75 and 94,824

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Solution

The third proportional to 40,965.75 and 94,824 is: 219,490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,965.75 : 94,824 = 94,824 : x
  2. Step 2: Convert to fraction form
    40,965.75/94,824 = 94,824/x
  3. Step 3: Cross multiply
    40,965.75x = 94,824 × 94,824
  4. Step 4: Simplify right side
    40,965.75x = 8,991,590,976
  5. Step 5: Solve for x
    x = 8,991,590,976/40,965.75
  6. Step 6: Final answer
    x = 219,490.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.