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Finding the Third Proportional to 4,135.22 and 9,013.99

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Solution

The third proportional to 4,135.22 and 9,013.99 is: 19,648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.22 : 9,013.99 = 9,013.99 : x
  2. Step 2: Convert to fraction form
    4,135.22/9,013.99 = 9,013.99/x
  3. Step 3: Cross multiply
    4,135.22x = 9,013.99 × 9,013.99
  4. Step 4: Simplify right side
    4,135.22x = 81,252,055.16
  5. Step 5: Solve for x
    x = 81,252,055.16/4,135.22
  6. Step 6: Final answer
    x = 19,648.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.