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Finding the Third Proportional to 19,443 and 30,163.50

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Solution

The third proportional to 19,443 and 30,163.50 is: 46,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,443 : 30,163.50 = 30,163.50 : x
  2. Step 2: Convert to fraction form
    19,443/30,163.50 = 30,163.50/x
  3. Step 3: Cross multiply
    19,443x = 30,163.50 × 30,163.50
  4. Step 4: Simplify right side
    19,443x = 909,836,732.25
  5. Step 5: Solve for x
    x = 909,836,732.25/19,443
  6. Step 6: Final answer
    x = 46,795.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.