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Finding the Third Proportional to 956.75 and 1,703.50

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Solution

The third proportional to 956.75 and 1,703.50 is: 3,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.75 : 1,703.50 = 1,703.50 : x
  2. Step 2: Convert to fraction form
    956.75/1,703.50 = 1,703.50/x
  3. Step 3: Cross multiply
    956.75x = 1,703.50 × 1,703.50
  4. Step 4: Simplify right side
    956.75x = 2,901,912.25
  5. Step 5: Solve for x
    x = 2,901,912.25/956.75
  6. Step 6: Final answer
    x = 3,033.09

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.