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Finding the Third Proportional to 5,106 and 11,806.50

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Solution

The third proportional to 5,106 and 11,806.50 is: 27,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106 : 11,806.50 = 11,806.50 : x
  2. Step 2: Convert to fraction form
    5,106/11,806.50 = 11,806.50/x
  3. Step 3: Cross multiply
    5,106x = 11,806.50 × 11,806.50
  4. Step 4: Simplify right side
    5,106x = 139,393,442.25
  5. Step 5: Solve for x
    x = 139,393,442.25/5,106
  6. Step 6: Final answer
    x = 27,299.93

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.