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Finding the Third Proportional to 1,164 and 1,519

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Solution

The third proportional to 1,164 and 1,519 is: 1,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164 : 1,519 = 1,519 : x
  2. Step 2: Convert to fraction form
    1,164/1,519 = 1,519/x
  3. Step 3: Cross multiply
    1,164x = 1,519 × 1,519
  4. Step 4: Simplify right side
    1,164x = 2,307,361
  5. Step 5: Solve for x
    x = 2,307,361/1,164
  6. Step 6: Final answer
    x = 1,982.27

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.