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Finding the Third Proportional to 23,188.50 and 34,890.75

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Solution

The third proportional to 23,188.50 and 34,890.75 is: 52,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,188.50 : 34,890.75 = 34,890.75 : x
  2. Step 2: Convert to fraction form
    23,188.50/34,890.75 = 34,890.75/x
  3. Step 3: Cross multiply
    23,188.50x = 34,890.75 × 34,890.75
  4. Step 4: Simplify right side
    23,188.50x = 1,217,364,435.56
  5. Step 5: Solve for x
    x = 1,217,364,435.56/23,188.50
  6. Step 6: Final answer
    x = 52,498.63

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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.