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Finding the Third Proportional to 24,608 and 38,177

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Solution

The third proportional to 24,608 and 38,177 is: 59,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,608 : 38,177 = 38,177 : x
  2. Step 2: Convert to fraction form
    24,608/38,177 = 38,177/x
  3. Step 3: Cross multiply
    24,608x = 38,177 × 38,177
  4. Step 4: Simplify right side
    24,608x = 1,457,483,329
  5. Step 5: Solve for x
    x = 1,457,483,329/24,608
  6. Step 6: Final answer
    x = 59,228.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.