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Finding the Third Proportional to 23,081 and 33,847.50

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Solution

The third proportional to 23,081 and 33,847.50 is: 49,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,081 : 33,847.50 = 33,847.50 : x
  2. Step 2: Convert to fraction form
    23,081/33,847.50 = 33,847.50/x
  3. Step 3: Cross multiply
    23,081x = 33,847.50 × 33,847.50
  4. Step 4: Simplify right side
    23,081x = 1,145,653,256.25
  5. Step 5: Solve for x
    x = 1,145,653,256.25/23,081
  6. Step 6: Final answer
    x = 49,636.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.