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Finding the Third Proportional to 12,395.63 and 18,620.63

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Solution

The third proportional to 12,395.63 and 18,620.63 is: 27,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,395.63 : 18,620.63 = 18,620.63 : x
  2. Step 2: Convert to fraction form
    12,395.63/18,620.63 = 18,620.63/x
  3. Step 3: Cross multiply
    12,395.63x = 18,620.63 × 18,620.63
  4. Step 4: Simplify right side
    12,395.63x = 346,727,675.39
  5. Step 5: Solve for x
    x = 346,727,675.39/12,395.63
  6. Step 6: Final answer
    x = 27,971.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.