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Finding the Third Proportional to 1,854 and 3,412

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Solution

The third proportional to 1,854 and 3,412 is: 6,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854 : 3,412 = 3,412 : x
  2. Step 2: Convert to fraction form
    1,854/3,412 = 3,412/x
  3. Step 3: Cross multiply
    1,854x = 3,412 × 3,412
  4. Step 4: Simplify right side
    1,854x = 11,641,744
  5. Step 5: Solve for x
    x = 11,641,744/1,854
  6. Step 6: Final answer
    x = 6,279.26

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.