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Finding the Third Proportional to 9,804 and 19,848

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Solution

The third proportional to 9,804 and 19,848 is: 40,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804 : 19,848 = 19,848 : x
  2. Step 2: Convert to fraction form
    9,804/19,848 = 19,848/x
  3. Step 3: Cross multiply
    9,804x = 19,848 × 19,848
  4. Step 4: Simplify right side
    9,804x = 393,943,104
  5. Step 5: Solve for x
    x = 393,943,104/9,804
  6. Step 6: Final answer
    x = 40,181.88

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.