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Finding the Third Proportional to 5,041 and 10,851.50

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Solution

The third proportional to 5,041 and 10,851.50 is: 23,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041 : 10,851.50 = 10,851.50 : x
  2. Step 2: Convert to fraction form
    5,041/10,851.50 = 10,851.50/x
  3. Step 3: Cross multiply
    5,041x = 10,851.50 × 10,851.50
  4. Step 4: Simplify right side
    5,041x = 117,755,052.25
  5. Step 5: Solve for x
    x = 117,755,052.25/5,041
  6. Step 6: Final answer
    x = 23,359.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.