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Finding the Third Proportional to 935.30 and 2,021.20

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Solution

The third proportional to 935.30 and 2,021.20 is: 4,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.30 : 2,021.20 = 2,021.20 : x
  2. Step 2: Convert to fraction form
    935.30/2,021.20 = 2,021.20/x
  3. Step 3: Cross multiply
    935.30x = 2,021.20 × 2,021.20
  4. Step 4: Simplify right side
    935.30x = 4,085,262.07
  5. Step 5: Solve for x
    x = 4,085,262.07/935.30
  6. Step 6: Final answer
    x = 4,367.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.