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Finding the Third Proportional to 23,019.50 and 34,615

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Solution

The third proportional to 23,019.50 and 34,615 is: 52,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,019.50 : 34,615 = 34,615 : x
  2. Step 2: Convert to fraction form
    23,019.50/34,615 = 34,615/x
  3. Step 3: Cross multiply
    23,019.50x = 34,615 × 34,615
  4. Step 4: Simplify right side
    23,019.50x = 1,198,198,225
  5. Step 5: Solve for x
    x = 1,198,198,225/23,019.50
  6. Step 6: Final answer
    x = 52,051.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.