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Finding the Third Proportional to 5,194.50 and 10,954.50

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Solution

The third proportional to 5,194.50 and 10,954.50 is: 23,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.50 : 10,954.50 = 10,954.50 : x
  2. Step 2: Convert to fraction form
    5,194.50/10,954.50 = 10,954.50/x
  3. Step 3: Cross multiply
    5,194.50x = 10,954.50 × 10,954.50
  4. Step 4: Simplify right side
    5,194.50x = 120,001,070.25
  5. Step 5: Solve for x
    x = 120,001,070.25/5,194.50
  6. Step 6: Final answer
    x = 23,101.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.