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Finding the Third Proportional to 920.06 and 1,383.94

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Solution

The third proportional to 920.06 and 1,383.94 is: 2,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.06 : 1,383.94 = 1,383.94 : x
  2. Step 2: Convert to fraction form
    920.06/1,383.94 = 1,383.94/x
  3. Step 3: Cross multiply
    920.06x = 1,383.94 × 1,383.94
  4. Step 4: Simplify right side
    920.06x = 1,915,283.00
  5. Step 5: Solve for x
    x = 1,915,283.00/920.06
  6. Step 6: Final answer
    x = 2,081.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.