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Finding the Third Proportional to 3,728.25 and 9,023.63

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Solution

The third proportional to 3,728.25 and 9,023.63 is: 21,840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.25 : 9,023.63 = 9,023.63 : x
  2. Step 2: Convert to fraction form
    3,728.25/9,023.63 = 9,023.63/x
  3. Step 3: Cross multiply
    3,728.25x = 9,023.63 × 9,023.63
  4. Step 4: Simplify right side
    3,728.25x = 81,425,808.14
  5. Step 5: Solve for x
    x = 81,425,808.14/3,728.25
  6. Step 6: Final answer
    x = 21,840.22

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.