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Finding the Third Proportional to 1,523 and 3,278

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Solution

The third proportional to 1,523 and 3,278 is: 7,055.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523 : 3,278 = 3,278 : x
  2. Step 2: Convert to fraction form
    1,523/3,278 = 3,278/x
  3. Step 3: Cross multiply
    1,523x = 3,278 × 3,278
  4. Step 4: Simplify right side
    1,523x = 10,745,284
  5. Step 5: Solve for x
    x = 10,745,284/1,523
  6. Step 6: Final answer
    x = 7,055.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.