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Finding the Third Proportional to 935.30 and 1,978.73

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Solution

The third proportional to 935.30 and 1,978.73 is: 4,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.30 : 1,978.73 = 1,978.73 : x
  2. Step 2: Convert to fraction form
    935.30/1,978.73 = 1,978.73/x
  3. Step 3: Cross multiply
    935.30x = 1,978.73 × 1,978.73
  4. Step 4: Simplify right side
    935.30x = 3,915,389.73
  5. Step 5: Solve for x
    x = 3,915,389.73/935.30
  6. Step 6: Final answer
    x = 4,186.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.