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Finding the Third Proportional to 19,244 and 42,272

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Solution

The third proportional to 19,244 and 42,272 is: 92,856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,244 : 42,272 = 42,272 : x
  2. Step 2: Convert to fraction form
    19,244/42,272 = 42,272/x
  3. Step 3: Cross multiply
    19,244x = 42,272 × 42,272
  4. Step 4: Simplify right side
    19,244x = 1,786,921,984
  5. Step 5: Solve for x
    x = 1,786,921,984/19,244
  6. Step 6: Final answer
    x = 92,856.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.