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Finding the Third Proportional to 18,493.31 and 26,167.64

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Solution

The third proportional to 18,493.31 and 26,167.64 is: 37,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,493.31 : 26,167.64 = 26,167.64 : x
  2. Step 2: Convert to fraction form
    18,493.31/26,167.64 = 26,167.64/x
  3. Step 3: Cross multiply
    18,493.31x = 26,167.64 × 26,167.64
  4. Step 4: Simplify right side
    18,493.31x = 684,745,415.88
  5. Step 5: Solve for x
    x = 684,745,415.88/18,493.31
  6. Step 6: Final answer
    x = 37,026.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.