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Finding the Third Proportional to 8,223.19 and 19,883.81

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Solution

The third proportional to 8,223.19 and 19,883.81 is: 48,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.19 : 19,883.81 = 19,883.81 : x
  2. Step 2: Convert to fraction form
    8,223.19/19,883.81 = 19,883.81/x
  3. Step 3: Cross multiply
    8,223.19x = 19,883.81 × 19,883.81
  4. Step 4: Simplify right side
    8,223.19x = 395,365,999.54
  5. Step 5: Solve for x
    x = 395,365,999.54/8,223.19
  6. Step 6: Final answer
    x = 48,079.41

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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.