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Finding the Third Proportional to 1,536 and 1,868

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Solution

The third proportional to 1,536 and 1,868 is: 2,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536 : 1,868 = 1,868 : x
  2. Step 2: Convert to fraction form
    1,536/1,868 = 1,868/x
  3. Step 3: Cross multiply
    1,536x = 1,868 × 1,868
  4. Step 4: Simplify right side
    1,536x = 3,489,424
  5. Step 5: Solve for x
    x = 3,489,424/1,536
  6. Step 6: Final answer
    x = 2,271.76

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.