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Finding the Third Proportional to 11,876.63 and 18,680.63

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Solution

The third proportional to 11,876.63 and 18,680.63 is: 29,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.63 : 18,680.63 = 18,680.63 : x
  2. Step 2: Convert to fraction form
    11,876.63/18,680.63 = 18,680.63/x
  3. Step 3: Cross multiply
    11,876.63x = 18,680.63 × 18,680.63
  4. Step 4: Simplify right side
    11,876.63x = 348,965,750.39
  5. Step 5: Solve for x
    x = 348,965,750.39/11,876.63
  6. Step 6: Final answer
    x = 29,382.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.