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Finding the Third Proportional to 17,833 and 27,723.50

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Solution

The third proportional to 17,833 and 27,723.50 is: 43,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833 : 27,723.50 = 27,723.50 : x
  2. Step 2: Convert to fraction form
    17,833/27,723.50 = 27,723.50/x
  3. Step 3: Cross multiply
    17,833x = 27,723.50 × 27,723.50
  4. Step 4: Simplify right side
    17,833x = 768,592,452.25
  5. Step 5: Solve for x
    x = 768,592,452.25/17,833
  6. Step 6: Final answer
    x = 43,099.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.