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Finding the Third Proportional to 6,796 and 14,928.50

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Solution

The third proportional to 6,796 and 14,928.50 is: 32,792.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796 : 14,928.50 = 14,928.50 : x
  2. Step 2: Convert to fraction form
    6,796/14,928.50 = 14,928.50/x
  3. Step 3: Cross multiply
    6,796x = 14,928.50 × 14,928.50
  4. Step 4: Simplify right side
    6,796x = 222,860,112.25
  5. Step 5: Solve for x
    x = 222,860,112.25/6,796
  6. Step 6: Final answer
    x = 32,792.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.