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Finding the Third Proportional to 23,936.34 and 37,884.52

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Solution

The third proportional to 23,936.34 and 37,884.52 is: 59,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,936.34 : 37,884.52 = 37,884.52 : x
  2. Step 2: Convert to fraction form
    23,936.34/37,884.52 = 37,884.52/x
  3. Step 3: Cross multiply
    23,936.34x = 37,884.52 × 37,884.52
  4. Step 4: Simplify right side
    23,936.34x = 1,435,236,524.14
  5. Step 5: Solve for x
    x = 1,435,236,524.14/23,936.34
  6. Step 6: Final answer
    x = 59,960.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.