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Finding the Third Proportional to 8,608 and 19,952

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Solution

The third proportional to 8,608 and 19,952 is: 46,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,608 : 19,952 = 19,952 : x
  2. Step 2: Convert to fraction form
    8,608/19,952 = 19,952/x
  3. Step 3: Cross multiply
    8,608x = 19,952 × 19,952
  4. Step 4: Simplify right side
    8,608x = 398,082,304
  5. Step 5: Solve for x
    x = 398,082,304/8,608
  6. Step 6: Final answer
    x = 46,245.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.