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Finding the Third Proportional to 10,050 and 20,370

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Solution

The third proportional to 10,050 and 20,370 is: 41,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,050 : 20,370 = 20,370 : x
  2. Step 2: Convert to fraction form
    10,050/20,370 = 20,370/x
  3. Step 3: Cross multiply
    10,050x = 20,370 × 20,370
  4. Step 4: Simplify right side
    10,050x = 414,936,900
  5. Step 5: Solve for x
    x = 414,936,900/10,050
  6. Step 6: Final answer
    x = 41,287.25

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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.