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Finding the Third Proportional to 18,670 and 26,118

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Solution

The third proportional to 18,670 and 26,118 is: 36,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,670 : 26,118 = 26,118 : x
  2. Step 2: Convert to fraction form
    18,670/26,118 = 26,118/x
  3. Step 3: Cross multiply
    18,670x = 26,118 × 26,118
  4. Step 4: Simplify right side
    18,670x = 682,149,924
  5. Step 5: Solve for x
    x = 682,149,924/18,670
  6. Step 6: Final answer
    x = 36,537.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.