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Finding the Third Proportional to 23,194.50 and 34,815

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Solution

The third proportional to 23,194.50 and 34,815 is: 52,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,194.50 : 34,815 = 34,815 : x
  2. Step 2: Convert to fraction form
    23,194.50/34,815 = 34,815/x
  3. Step 3: Cross multiply
    23,194.50x = 34,815 × 34,815
  4. Step 4: Simplify right side
    23,194.50x = 1,212,084,225
  5. Step 5: Solve for x
    x = 1,212,084,225/23,194.50
  6. Step 6: Final answer
    x = 52,257.40

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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.