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Finding the Third Proportional to 4,091 and 4,919

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Solution

The third proportional to 4,091 and 4,919 is: 5,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091 : 4,919 = 4,919 : x
  2. Step 2: Convert to fraction form
    4,091/4,919 = 4,919/x
  3. Step 3: Cross multiply
    4,091x = 4,919 × 4,919
  4. Step 4: Simplify right side
    4,091x = 24,196,561
  5. Step 5: Solve for x
    x = 24,196,561/4,091
  6. Step 6: Final answer
    x = 5,914.58

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.