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Finding the Third Proportional to 19,247 and 40,023.50

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Solution

The third proportional to 19,247 and 40,023.50 is: 83,227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,247 : 40,023.50 = 40,023.50 : x
  2. Step 2: Convert to fraction form
    19,247/40,023.50 = 40,023.50/x
  3. Step 3: Cross multiply
    19,247x = 40,023.50 × 40,023.50
  4. Step 4: Simplify right side
    19,247x = 1,601,880,552.25
  5. Step 5: Solve for x
    x = 1,601,880,552.25/19,247
  6. Step 6: Final answer
    x = 83,227.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.