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Finding the Third Proportional to 23,314.50 and 34,884

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Solution

The third proportional to 23,314.50 and 34,884 is: 52,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314.50 : 34,884 = 34,884 : x
  2. Step 2: Convert to fraction form
    23,314.50/34,884 = 34,884/x
  3. Step 3: Cross multiply
    23,314.50x = 34,884 × 34,884
  4. Step 4: Simplify right side
    23,314.50x = 1,216,893,456
  5. Step 5: Solve for x
    x = 1,216,893,456/23,314.50
  6. Step 6: Final answer
    x = 52,194.71

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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.