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Finding the Third Proportional to 4,054 and 5,841

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Solution

The third proportional to 4,054 and 5,841 is: 8,415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054 : 5,841 = 5,841 : x
  2. Step 2: Convert to fraction form
    4,054/5,841 = 5,841/x
  3. Step 3: Cross multiply
    4,054x = 5,841 × 5,841
  4. Step 4: Simplify right side
    4,054x = 34,117,281
  5. Step 5: Solve for x
    x = 34,117,281/4,054
  6. Step 6: Final answer
    x = 8,415.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.