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Finding the Third Proportional to 10,054 and 20,378

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Solution

The third proportional to 10,054 and 20,378 is: 41,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054 : 20,378 = 20,378 : x
  2. Step 2: Convert to fraction form
    10,054/20,378 = 20,378/x
  3. Step 3: Cross multiply
    10,054x = 20,378 × 20,378
  4. Step 4: Simplify right side
    10,054x = 415,262,884
  5. Step 5: Solve for x
    x = 415,262,884/10,054
  6. Step 6: Final answer
    x = 41,303.25

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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.