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Finding the Third Proportional to 4,642 and 5,901

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Solution

The third proportional to 4,642 and 5,901 is: 7,501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642 : 5,901 = 5,901 : x
  2. Step 2: Convert to fraction form
    4,642/5,901 = 5,901/x
  3. Step 3: Cross multiply
    4,642x = 5,901 × 5,901
  4. Step 4: Simplify right side
    4,642x = 34,821,801
  5. Step 5: Solve for x
    x = 34,821,801/4,642
  6. Step 6: Final answer
    x = 7,501.47

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.