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Finding the Third Proportional to 1,900 and 2,416

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Solution

The third proportional to 1,900 and 2,416 is: 3,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900 : 2,416 = 2,416 : x
  2. Step 2: Convert to fraction form
    1,900/2,416 = 2,416/x
  3. Step 3: Cross multiply
    1,900x = 2,416 × 2,416
  4. Step 4: Simplify right side
    1,900x = 5,837,056
  5. Step 5: Solve for x
    x = 5,837,056/1,900
  6. Step 6: Final answer
    x = 3,072.13

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.