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Finding the Third Proportional to 9,031.50 and 19,880.44

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Solution

The third proportional to 9,031.50 and 19,880.44 is: 43,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.50 : 19,880.44 = 19,880.44 : x
  2. Step 2: Convert to fraction form
    9,031.50/19,880.44 = 19,880.44/x
  3. Step 3: Cross multiply
    9,031.50x = 19,880.44 × 19,880.44
  4. Step 4: Simplify right side
    9,031.50x = 395,231,795.19
  5. Step 5: Solve for x
    x = 395,231,795.19/9,031.50
  6. Step 6: Final answer
    x = 43,761.48

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Why These Related Problems?

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