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Finding the Third Proportional to 19,202 and 44,481.50

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Solution

The third proportional to 19,202 and 44,481.50 is: 103,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,202 : 44,481.50 = 44,481.50 : x
  2. Step 2: Convert to fraction form
    19,202/44,481.50 = 44,481.50/x
  3. Step 3: Cross multiply
    19,202x = 44,481.50 × 44,481.50
  4. Step 4: Simplify right side
    19,202x = 1,978,603,842.25
  5. Step 5: Solve for x
    x = 1,978,603,842.25/19,202
  6. Step 6: Final answer
    x = 103,041.55

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.