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Finding the Third Proportional to 23,190 and 37,336.50

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Solution

The third proportional to 23,190 and 37,336.50 is: 60,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,190 : 37,336.50 = 37,336.50 : x
  2. Step 2: Convert to fraction form
    23,190/37,336.50 = 37,336.50/x
  3. Step 3: Cross multiply
    23,190x = 37,336.50 × 37,336.50
  4. Step 4: Simplify right side
    23,190x = 1,394,014,232.25
  5. Step 5: Solve for x
    x = 1,394,014,232.25/23,190
  6. Step 6: Final answer
    x = 60,112.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.