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Finding the Third Proportional to 4,191 and 5,754

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Solution

The third proportional to 4,191 and 5,754 is: 7,899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191 : 5,754 = 5,754 : x
  2. Step 2: Convert to fraction form
    4,191/5,754 = 5,754/x
  3. Step 3: Cross multiply
    4,191x = 5,754 × 5,754
  4. Step 4: Simplify right side
    4,191x = 33,108,516
  5. Step 5: Solve for x
    x = 33,108,516/4,191
  6. Step 6: Final answer
    x = 7,899.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.