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Finding the Third Proportional to 10,324 and 19,112

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Solution

The third proportional to 10,324 and 19,112 is: 35,380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324 : 19,112 = 19,112 : x
  2. Step 2: Convert to fraction form
    10,324/19,112 = 19,112/x
  3. Step 3: Cross multiply
    10,324x = 19,112 × 19,112
  4. Step 4: Simplify right side
    10,324x = 365,268,544
  5. Step 5: Solve for x
    x = 365,268,544/10,324
  6. Step 6: Final answer
    x = 35,380.53

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.