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Finding the Third Proportional to 18,811 and 40,862

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Solution

The third proportional to 18,811 and 40,862 is: 88,762.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,811 : 40,862 = 40,862 : x
  2. Step 2: Convert to fraction form
    18,811/40,862 = 40,862/x
  3. Step 3: Cross multiply
    18,811x = 40,862 × 40,862
  4. Step 4: Simplify right side
    18,811x = 1,669,703,044
  5. Step 5: Solve for x
    x = 1,669,703,044/18,811
  6. Step 6: Final answer
    x = 88,762.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.