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Finding the Third Proportional to 7,190.44 and 14,729.34

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Solution

The third proportional to 7,190.44 and 14,729.34 is: 30,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.44 : 14,729.34 = 14,729.34 : x
  2. Step 2: Convert to fraction form
    7,190.44/14,729.34 = 14,729.34/x
  3. Step 3: Cross multiply
    7,190.44x = 14,729.34 × 14,729.34
  4. Step 4: Simplify right side
    7,190.44x = 216,953,567.31
  5. Step 5: Solve for x
    x = 216,953,567.31/7,190.44
  6. Step 6: Final answer
    x = 30,172.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.