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Finding the Third Proportional to 19,563 and 42,171

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Solution

The third proportional to 19,563 and 42,171 is: 90,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,563 : 42,171 = 42,171 : x
  2. Step 2: Convert to fraction form
    19,563/42,171 = 42,171/x
  3. Step 3: Cross multiply
    19,563x = 42,171 × 42,171
  4. Step 4: Simplify right side
    19,563x = 1,778,393,241
  5. Step 5: Solve for x
    x = 1,778,393,241/19,563
  6. Step 6: Final answer
    x = 90,905.96

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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.