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Finding the Third Proportional to 18,811 and 24,971

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Solution

The third proportional to 18,811 and 24,971 is: 33,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,811 : 24,971 = 24,971 : x
  2. Step 2: Convert to fraction form
    18,811/24,971 = 24,971/x
  3. Step 3: Cross multiply
    18,811x = 24,971 × 24,971
  4. Step 4: Simplify right side
    18,811x = 623,550,841
  5. Step 5: Solve for x
    x = 623,550,841/18,811
  6. Step 6: Final answer
    x = 33,148.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.