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Finding the Third Proportional to 11,806.50 and 18,427.88

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Solution

The third proportional to 11,806.50 and 18,427.88 is: 28,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.50 : 18,427.88 = 18,427.88 : x
  2. Step 2: Convert to fraction form
    11,806.50/18,427.88 = 18,427.88/x
  3. Step 3: Cross multiply
    11,806.50x = 18,427.88 × 18,427.88
  4. Step 4: Simplify right side
    11,806.50x = 339,586,577.02
  5. Step 5: Solve for x
    x = 339,586,577.02/11,806.50
  6. Step 6: Final answer
    x = 28,762.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.