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Finding the Third Proportional to 19,608 and 42,158

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Solution

The third proportional to 19,608 and 42,158 is: 90,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608 : 42,158 = 42,158 : x
  2. Step 2: Convert to fraction form
    19,608/42,158 = 42,158/x
  3. Step 3: Cross multiply
    19,608x = 42,158 × 42,158
  4. Step 4: Simplify right side
    19,608x = 1,777,296,964
  5. Step 5: Solve for x
    x = 1,777,296,964/19,608
  6. Step 6: Final answer
    x = 90,641.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.