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Finding the Third Proportional to 5,258.67 and 11,121.05

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Solution

The third proportional to 5,258.67 and 11,121.05 is: 23,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.67 : 11,121.05 = 11,121.05 : x
  2. Step 2: Convert to fraction form
    5,258.67/11,121.05 = 11,121.05/x
  3. Step 3: Cross multiply
    5,258.67x = 11,121.05 × 11,121.05
  4. Step 4: Simplify right side
    5,258.67x = 123,677,683.60
  5. Step 5: Solve for x
    x = 123,677,683.60/5,258.67
  6. Step 6: Final answer
    x = 23,518.81

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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.