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Finding the Third Proportional to 946.97 and 2,035.69

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Solution

The third proportional to 946.97 and 2,035.69 is: 4,376.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.97 : 2,035.69 = 2,035.69 : x
  2. Step 2: Convert to fraction form
    946.97/2,035.69 = 2,035.69/x
  3. Step 3: Cross multiply
    946.97x = 2,035.69 × 2,035.69
  4. Step 4: Simplify right side
    946.97x = 4,144,023.60
  5. Step 5: Solve for x
    x = 4,144,023.60/946.97
  6. Step 6: Final answer
    x = 4,376.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.