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Finding the Third Proportional to 18,096 and 36,648

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Solution

The third proportional to 18,096 and 36,648 is: 74,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,096 : 36,648 = 36,648 : x
  2. Step 2: Convert to fraction form
    18,096/36,648 = 36,648/x
  3. Step 3: Cross multiply
    18,096x = 36,648 × 36,648
  4. Step 4: Simplify right side
    18,096x = 1,343,075,904
  5. Step 5: Solve for x
    x = 1,343,075,904/18,096
  6. Step 6: Final answer
    x = 74,219.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.