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Finding the Third Proportional to 18,238.50 and 26,079

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Solution

The third proportional to 18,238.50 and 26,079 is: 37,290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,238.50 : 26,079 = 26,079 : x
  2. Step 2: Convert to fraction form
    18,238.50/26,079 = 26,079/x
  3. Step 3: Cross multiply
    18,238.50x = 26,079 × 26,079
  4. Step 4: Simplify right side
    18,238.50x = 680,114,241
  5. Step 5: Solve for x
    x = 680,114,241/18,238.50
  6. Step 6: Final answer
    x = 37,290.03

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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.