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Finding the Third Proportional to 1,864 and 4,100

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Solution

The third proportional to 1,864 and 4,100 is: 9,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864 : 4,100 = 4,100 : x
  2. Step 2: Convert to fraction form
    1,864/4,100 = 4,100/x
  3. Step 3: Cross multiply
    1,864x = 4,100 × 4,100
  4. Step 4: Simplify right side
    1,864x = 16,810,000
  5. Step 5: Solve for x
    x = 16,810,000/1,864
  6. Step 6: Final answer
    x = 9,018.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.