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Finding the Third Proportional to 2,105 and 3,248

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Solution

The third proportional to 2,105 and 3,248 is: 5,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105 : 3,248 = 3,248 : x
  2. Step 2: Convert to fraction form
    2,105/3,248 = 3,248/x
  3. Step 3: Cross multiply
    2,105x = 3,248 × 3,248
  4. Step 4: Simplify right side
    2,105x = 10,549,504
  5. Step 5: Solve for x
    x = 10,549,504/2,105
  6. Step 6: Final answer
    x = 5,011.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.