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Finding the Third Proportional to 18,266 and 26,118

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Solution

The third proportional to 18,266 and 26,118 is: 37,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,266 : 26,118 = 26,118 : x
  2. Step 2: Convert to fraction form
    18,266/26,118 = 26,118/x
  3. Step 3: Cross multiply
    18,266x = 26,118 × 26,118
  4. Step 4: Simplify right side
    18,266x = 682,149,924
  5. Step 5: Solve for x
    x = 682,149,924/18,266
  6. Step 6: Final answer
    x = 37,345.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.