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Finding the Third Proportional to 935.72 and 2,059.59

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Solution

The third proportional to 935.72 and 2,059.59 is: 4,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.72 : 2,059.59 = 2,059.59 : x
  2. Step 2: Convert to fraction form
    935.72/2,059.59 = 2,059.59/x
  3. Step 3: Cross multiply
    935.72x = 2,059.59 × 2,059.59
  4. Step 4: Simplify right side
    935.72x = 4,241,926.42
  5. Step 5: Solve for x
    x = 4,241,926.42/935.72
  6. Step 6: Final answer
    x = 4,533.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.