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Finding the Third Proportional to 6,904 and 12,848

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Solution

The third proportional to 6,904 and 12,848 is: 23,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904 : 12,848 = 12,848 : x
  2. Step 2: Convert to fraction form
    6,904/12,848 = 12,848/x
  3. Step 3: Cross multiply
    6,904x = 12,848 × 12,848
  4. Step 4: Simplify right side
    6,904x = 165,071,104
  5. Step 5: Solve for x
    x = 165,071,104/6,904
  6. Step 6: Final answer
    x = 23,909.49

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.