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Finding the Third Proportional to 4,403.25 and 9,170.02

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Solution

The third proportional to 4,403.25 and 9,170.02 is: 19,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,403.25 : 9,170.02 = 9,170.02 : x
  2. Step 2: Convert to fraction form
    4,403.25/9,170.02 = 9,170.02/x
  3. Step 3: Cross multiply
    4,403.25x = 9,170.02 × 9,170.02
  4. Step 4: Simplify right side
    4,403.25x = 84,089,186.56
  5. Step 5: Solve for x
    x = 84,089,186.56/4,403.25
  6. Step 6: Final answer
    x = 19,097.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.