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Finding the Third Proportional to 18,027 and 24,114

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Solution

The third proportional to 18,027 and 24,114 is: 32,256.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,027 : 24,114 = 24,114 : x
  2. Step 2: Convert to fraction form
    18,027/24,114 = 24,114/x
  3. Step 3: Cross multiply
    18,027x = 24,114 × 24,114
  4. Step 4: Simplify right side
    18,027x = 581,484,996
  5. Step 5: Solve for x
    x = 581,484,996/18,027
  6. Step 6: Final answer
    x = 32,256.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.