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Finding the Third Proportional to 7,791.19 and 18,521.16

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Solution

The third proportional to 7,791.19 and 18,521.16 is: 44,028.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.19 : 18,521.16 = 18,521.16 : x
  2. Step 2: Convert to fraction form
    7,791.19/18,521.16 = 18,521.16/x
  3. Step 3: Cross multiply
    7,791.19x = 18,521.16 × 18,521.16
  4. Step 4: Simplify right side
    7,791.19x = 343,033,228.84
  5. Step 5: Solve for x
    x = 343,033,228.84/7,791.19
  6. Step 6: Final answer
    x = 44,028.36

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.