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Finding the Third Proportional to 9,670 and 19,412

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Solution

The third proportional to 9,670 and 19,412 is: 38,968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670 : 19,412 = 19,412 : x
  2. Step 2: Convert to fraction form
    9,670/19,412 = 19,412/x
  3. Step 3: Cross multiply
    9,670x = 19,412 × 19,412
  4. Step 4: Simplify right side
    9,670x = 376,825,744
  5. Step 5: Solve for x
    x = 376,825,744/9,670
  6. Step 6: Final answer
    x = 38,968.54

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.