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Finding the Third Proportional to 815.50 and 1,902.25

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Solution

The third proportional to 815.50 and 1,902.25 is: 4,437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.50 : 1,902.25 = 1,902.25 : x
  2. Step 2: Convert to fraction form
    815.50/1,902.25 = 1,902.25/x
  3. Step 3: Cross multiply
    815.50x = 1,902.25 × 1,902.25
  4. Step 4: Simplify right side
    815.50x = 3,618,555.06
  5. Step 5: Solve for x
    x = 3,618,555.06/815.50
  6. Step 6: Final answer
    x = 4,437.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.