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Finding the Third Proportional to 5,954.45 and 12,968.23

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Solution

The third proportional to 5,954.45 and 12,968.23 is: 28,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.45 : 12,968.23 = 12,968.23 : x
  2. Step 2: Convert to fraction form
    5,954.45/12,968.23 = 12,968.23/x
  3. Step 3: Cross multiply
    5,954.45x = 12,968.23 × 12,968.23
  4. Step 4: Simplify right side
    5,954.45x = 168,174,900.18
  5. Step 5: Solve for x
    x = 168,174,900.18/5,954.45
  6. Step 6: Final answer
    x = 28,243.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.