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Finding the Third Proportional to 30,163.22 and 64,951.03

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Solution

The third proportional to 30,163.22 and 64,951.03 is: 139,860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,163.22 : 64,951.03 = 64,951.03 : x
  2. Step 2: Convert to fraction form
    30,163.22/64,951.03 = 64,951.03/x
  3. Step 3: Cross multiply
    30,163.22x = 64,951.03 × 64,951.03
  4. Step 4: Simplify right side
    30,163.22x = 4,218,636,460.44
  5. Step 5: Solve for x
    x = 4,218,636,460.44/30,163.22
  6. Step 6: Final answer
    x = 139,860.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.