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Finding the Third Proportional to 941.77 and 2,020.22

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Solution

The third proportional to 941.77 and 2,020.22 is: 4,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.77 : 2,020.22 = 2,020.22 : x
  2. Step 2: Convert to fraction form
    941.77/2,020.22 = 2,020.22/x
  3. Step 3: Cross multiply
    941.77x = 2,020.22 × 2,020.22
  4. Step 4: Simplify right side
    941.77x = 4,081,283.80
  5. Step 5: Solve for x
    x = 4,081,283.80/941.77
  6. Step 6: Final answer
    x = 4,333.65

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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.