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Finding the Third Proportional to 10,072 and 18,848

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Solution

The third proportional to 10,072 and 18,848 is: 35,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072 : 18,848 = 18,848 : x
  2. Step 2: Convert to fraction form
    10,072/18,848 = 18,848/x
  3. Step 3: Cross multiply
    10,072x = 18,848 × 18,848
  4. Step 4: Simplify right side
    10,072x = 355,247,104
  5. Step 5: Solve for x
    x = 355,247,104/10,072
  6. Step 6: Final answer
    x = 35,270.76

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.