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Finding the Third Proportional to 24,683 and 35,177

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Solution

The third proportional to 24,683 and 35,177 is: 50,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,683 : 35,177 = 35,177 : x
  2. Step 2: Convert to fraction form
    24,683/35,177 = 35,177/x
  3. Step 3: Cross multiply
    24,683x = 35,177 × 35,177
  4. Step 4: Simplify right side
    24,683x = 1,237,421,329
  5. Step 5: Solve for x
    x = 1,237,421,329/24,683
  6. Step 6: Final answer
    x = 50,132.53

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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.