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Finding the Third Proportional to 961.50 and 2,096.25

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Solution

The third proportional to 961.50 and 2,096.25 is: 4,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.50 : 2,096.25 = 2,096.25 : x
  2. Step 2: Convert to fraction form
    961.50/2,096.25 = 2,096.25/x
  3. Step 3: Cross multiply
    961.50x = 2,096.25 × 2,096.25
  4. Step 4: Simplify right side
    961.50x = 4,394,264.06
  5. Step 5: Solve for x
    x = 4,394,264.06/961.50
  6. Step 6: Final answer
    x = 4,570.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.