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Finding the Third Proportional to 19,568 and 42,195

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Solution

The third proportional to 19,568 and 42,195 is: 90,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,568 : 42,195 = 42,195 : x
  2. Step 2: Convert to fraction form
    19,568/42,195 = 42,195/x
  3. Step 3: Cross multiply
    19,568x = 42,195 × 42,195
  4. Step 4: Simplify right side
    19,568x = 1,780,418,025
  5. Step 5: Solve for x
    x = 1,780,418,025/19,568
  6. Step 6: Final answer
    x = 90,986.20

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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.