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Finding the Third Proportional to 18,026 and 26,890

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Solution

The third proportional to 18,026 and 26,890 is: 40,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,026 : 26,890 = 26,890 : x
  2. Step 2: Convert to fraction form
    18,026/26,890 = 26,890/x
  3. Step 3: Cross multiply
    18,026x = 26,890 × 26,890
  4. Step 4: Simplify right side
    18,026x = 723,072,100
  5. Step 5: Solve for x
    x = 723,072,100/18,026
  6. Step 6: Final answer
    x = 40,112.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.