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Finding the Third Proportional to 26,708 and 38,166

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Solution

The third proportional to 26,708 and 38,166 is: 54,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,708 : 38,166 = 38,166 : x
  2. Step 2: Convert to fraction form
    26,708/38,166 = 38,166/x
  3. Step 3: Cross multiply
    26,708x = 38,166 × 38,166
  4. Step 4: Simplify right side
    26,708x = 1,456,643,556
  5. Step 5: Solve for x
    x = 1,456,643,556/26,708
  6. Step 6: Final answer
    x = 54,539.60

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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.