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Finding the Third Proportional to 5,194.50 and 10,641

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Solution

The third proportional to 5,194.50 and 10,641 is: 21,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.50 : 10,641 = 10,641 : x
  2. Step 2: Convert to fraction form
    5,194.50/10,641 = 10,641/x
  3. Step 3: Cross multiply
    5,194.50x = 10,641 × 10,641
  4. Step 4: Simplify right side
    5,194.50x = 113,230,881
  5. Step 5: Solve for x
    x = 113,230,881/5,194.50
  6. Step 6: Final answer
    x = 21,798.23

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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.