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Finding the Third Proportional to 19,221 and 42,086

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Solution

The third proportional to 19,221 and 42,086 is: 92,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,221 : 42,086 = 42,086 : x
  2. Step 2: Convert to fraction form
    19,221/42,086 = 42,086/x
  3. Step 3: Cross multiply
    19,221x = 42,086 × 42,086
  4. Step 4: Simplify right side
    19,221x = 1,771,231,396
  5. Step 5: Solve for x
    x = 1,771,231,396/19,221
  6. Step 6: Final answer
    x = 92,150.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.