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Finding the Third Proportional to 19,571 and 42,181

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Solution

The third proportional to 19,571 and 42,181 is: 90,911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,571 : 42,181 = 42,181 : x
  2. Step 2: Convert to fraction form
    19,571/42,181 = 42,181/x
  3. Step 3: Cross multiply
    19,571x = 42,181 × 42,181
  4. Step 4: Simplify right side
    19,571x = 1,779,236,761
  5. Step 5: Solve for x
    x = 1,779,236,761/19,571
  6. Step 6: Final answer
    x = 90,911.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.