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Finding the Third Proportional to 8,223.19 and 19,252.69

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Solution

The third proportional to 8,223.19 and 19,252.69 is: 45,075.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.19 : 19,252.69 = 19,252.69 : x
  2. Step 2: Convert to fraction form
    8,223.19/19,252.69 = 19,252.69/x
  3. Step 3: Cross multiply
    8,223.19x = 19,252.69 × 19,252.69
  4. Step 4: Simplify right side
    8,223.19x = 370,665,975.97
  5. Step 5: Solve for x
    x = 370,665,975.97/8,223.19
  6. Step 6: Final answer
    x = 45,075.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.