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Finding the Third Proportional to 2,102.20 and 4,610.67

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Solution

The third proportional to 2,102.20 and 4,610.67 is: 10,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.20 : 4,610.67 = 4,610.67 : x
  2. Step 2: Convert to fraction form
    2,102.20/4,610.67 = 4,610.67/x
  3. Step 3: Cross multiply
    2,102.20x = 4,610.67 × 4,610.67
  4. Step 4: Simplify right side
    2,102.20x = 21,258,295.14
  5. Step 5: Solve for x
    x = 21,258,295.14/2,102.20
  6. Step 6: Final answer
    x = 10,112.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.