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Finding the Third Proportional to 11,886.38 and 16,616.63

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Solution

The third proportional to 11,886.38 and 16,616.63 is: 23,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.38 : 16,616.63 = 16,616.63 : x
  2. Step 2: Convert to fraction form
    11,886.38/16,616.63 = 16,616.63/x
  3. Step 3: Cross multiply
    11,886.38x = 16,616.63 × 16,616.63
  4. Step 4: Simplify right side
    11,886.38x = 276,112,226.39
  5. Step 5: Solve for x
    x = 276,112,226.39/11,886.38
  6. Step 6: Final answer
    x = 23,229.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.