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Finding the Third Proportional to 1,514 and 2,271

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Solution

The third proportional to 1,514 and 2,271 is: 3,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514 : 2,271 = 2,271 : x
  2. Step 2: Convert to fraction form
    1,514/2,271 = 2,271/x
  3. Step 3: Cross multiply
    1,514x = 2,271 × 2,271
  4. Step 4: Simplify right side
    1,514x = 5,157,441
  5. Step 5: Solve for x
    x = 5,157,441/1,514
  6. Step 6: Final answer
    x = 3,406.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.