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Finding the Third Proportional to 19,226 and 45,635

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Solution

The third proportional to 19,226 and 45,635 is: 108,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,226 : 45,635 = 45,635 : x
  2. Step 2: Convert to fraction form
    19,226/45,635 = 45,635/x
  3. Step 3: Cross multiply
    19,226x = 45,635 × 45,635
  4. Step 4: Simplify right side
    19,226x = 2,082,553,225
  5. Step 5: Solve for x
    x = 2,082,553,225/19,226
  6. Step 6: Final answer
    x = 108,319.63

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.