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Finding the Third Proportional to 22,805.25 and 34,173.75

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Solution

The third proportional to 22,805.25 and 34,173.75 is: 51,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,805.25 : 34,173.75 = 34,173.75 : x
  2. Step 2: Convert to fraction form
    22,805.25/34,173.75 = 34,173.75/x
  3. Step 3: Cross multiply
    22,805.25x = 34,173.75 × 34,173.75
  4. Step 4: Simplify right side
    22,805.25x = 1,167,845,189.06
  5. Step 5: Solve for x
    x = 1,167,845,189.06/22,805.25
  6. Step 6: Final answer
    x = 51,209.49

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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.