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Finding the Third Proportional to 15,733.50 and 23,958

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Solution

The third proportional to 15,733.50 and 23,958 is: 36,481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,733.50 : 23,958 = 23,958 : x
  2. Step 2: Convert to fraction form
    15,733.50/23,958 = 23,958/x
  3. Step 3: Cross multiply
    15,733.50x = 23,958 × 23,958
  4. Step 4: Simplify right side
    15,733.50x = 573,985,764
  5. Step 5: Solve for x
    x = 573,985,764/15,733.50
  6. Step 6: Final answer
    x = 36,481.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.