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Finding the Third Proportional to 873.28 and 1,902.23

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Solution

The third proportional to 873.28 and 1,902.23 is: 4,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.28 : 1,902.23 = 1,902.23 : x
  2. Step 2: Convert to fraction form
    873.28/1,902.23 = 1,902.23/x
  3. Step 3: Cross multiply
    873.28x = 1,902.23 × 1,902.23
  4. Step 4: Simplify right side
    873.28x = 3,618,495.62
  5. Step 5: Solve for x
    x = 3,618,495.62/873.28
  6. Step 6: Final answer
    x = 4,143.56

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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.