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Finding the Third Proportional to 10,674.44 and 14,928.84

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Solution

The third proportional to 10,674.44 and 14,928.84 is: 20,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.44 : 14,928.84 = 14,928.84 : x
  2. Step 2: Convert to fraction form
    10,674.44/14,928.84 = 14,928.84/x
  3. Step 3: Cross multiply
    10,674.44x = 14,928.84 × 14,928.84
  4. Step 4: Simplify right side
    10,674.44x = 222,870,200.76
  5. Step 5: Solve for x
    x = 222,870,200.76/10,674.44
  6. Step 6: Final answer
    x = 20,878.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.