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Finding the Third Proportional to 4,102.50 and 5,823

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Solution

The third proportional to 4,102.50 and 5,823 is: 8,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.50 : 5,823 = 5,823 : x
  2. Step 2: Convert to fraction form
    4,102.50/5,823 = 5,823/x
  3. Step 3: Cross multiply
    4,102.50x = 5,823 × 5,823
  4. Step 4: Simplify right side
    4,102.50x = 33,907,329
  5. Step 5: Solve for x
    x = 33,907,329/4,102.50
  6. Step 6: Final answer
    x = 8,265.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.