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Finding the Third Proportional to 19,880.44 and 30,914.16

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Solution

The third proportional to 19,880.44 and 30,914.16 is: 48,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,880.44 : 30,914.16 = 30,914.16 : x
  2. Step 2: Convert to fraction form
    19,880.44/30,914.16 = 30,914.16/x
  3. Step 3: Cross multiply
    19,880.44x = 30,914.16 × 30,914.16
  4. Step 4: Simplify right side
    19,880.44x = 955,685,056.65
  5. Step 5: Solve for x
    x = 955,685,056.65/19,880.44
  6. Step 6: Final answer
    x = 48,071.63

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.