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Finding the Third Proportional to 19,181 and 30,533.75

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Solution

The third proportional to 19,181 and 30,533.75 is: 48,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,181 : 30,533.75 = 30,533.75 : x
  2. Step 2: Convert to fraction form
    19,181/30,533.75 = 30,533.75/x
  3. Step 3: Cross multiply
    19,181x = 30,533.75 × 30,533.75
  4. Step 4: Simplify right side
    19,181x = 932,309,889.06
  5. Step 5: Solve for x
    x = 932,309,889.06/19,181
  6. Step 6: Final answer
    x = 48,605.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.