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Finding the Third Proportional to 24,677 and 35,166

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Solution

The third proportional to 24,677 and 35,166 is: 50,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,677 : 35,166 = 35,166 : x
  2. Step 2: Convert to fraction form
    24,677/35,166 = 35,166/x
  3. Step 3: Cross multiply
    24,677x = 35,166 × 35,166
  4. Step 4: Simplify right side
    24,677x = 1,236,647,556
  5. Step 5: Solve for x
    x = 1,236,647,556/24,677
  6. Step 6: Final answer
    x = 50,113.37

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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.