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Finding the Third Proportional to 4,241.11 and 9,302.34

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Solution

The third proportional to 4,241.11 and 9,302.34 is: 20,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.11 : 9,302.34 = 9,302.34 : x
  2. Step 2: Convert to fraction form
    4,241.11/9,302.34 = 9,302.34/x
  3. Step 3: Cross multiply
    4,241.11x = 9,302.34 × 9,302.34
  4. Step 4: Simplify right side
    4,241.11x = 86,533,599.24
  5. Step 5: Solve for x
    x = 86,533,599.24/4,241.11
  6. Step 6: Final answer
    x = 20,403.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.