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Finding the Third Proportional to 4,593.75 and 9,914.25

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Solution

The third proportional to 4,593.75 and 9,914.25 is: 21,396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593.75 : 9,914.25 = 9,914.25 : x
  2. Step 2: Convert to fraction form
    4,593.75/9,914.25 = 9,914.25/x
  3. Step 3: Cross multiply
    4,593.75x = 9,914.25 × 9,914.25
  4. Step 4: Simplify right side
    4,593.75x = 98,292,353.06
  5. Step 5: Solve for x
    x = 98,292,353.06/4,593.75
  6. Step 6: Final answer
    x = 21,396.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.