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Finding the Third Proportional to 18,668 and 26,132

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Solution

The third proportional to 18,668 and 26,132 is: 36,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,668 : 26,132 = 26,132 : x
  2. Step 2: Convert to fraction form
    18,668/26,132 = 26,132/x
  3. Step 3: Cross multiply
    18,668x = 26,132 × 26,132
  4. Step 4: Simplify right side
    18,668x = 682,881,424
  5. Step 5: Solve for x
    x = 682,881,424/18,668
  6. Step 6: Final answer
    x = 36,580.32

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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.