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Finding the Third Proportional to 1,920.38 and 2,935.69

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Solution

The third proportional to 1,920.38 and 2,935.69 is: 4,487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.38 : 2,935.69 = 2,935.69 : x
  2. Step 2: Convert to fraction form
    1,920.38/2,935.69 = 2,935.69/x
  3. Step 3: Cross multiply
    1,920.38x = 2,935.69 × 2,935.69
  4. Step 4: Simplify right side
    1,920.38x = 8,618,261.10
  5. Step 5: Solve for x
    x = 8,618,261.10/1,920.38
  6. Step 6: Final answer
    x = 4,487.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.