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Finding the Third Proportional to 5,114.50 and 11,035.75

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Solution

The third proportional to 5,114.50 and 11,035.75 is: 23,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.50 : 11,035.75 = 11,035.75 : x
  2. Step 2: Convert to fraction form
    5,114.50/11,035.75 = 11,035.75/x
  3. Step 3: Cross multiply
    5,114.50x = 11,035.75 × 11,035.75
  4. Step 4: Simplify right side
    5,114.50x = 121,787,778.06
  5. Step 5: Solve for x
    x = 121,787,778.06/5,114.50
  6. Step 6: Final answer
    x = 23,812.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.