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Finding the Third Proportional to 4,838 and 6,151

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Solution

The third proportional to 4,838 and 6,151 is: 7,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838 : 6,151 = 6,151 : x
  2. Step 2: Convert to fraction form
    4,838/6,151 = 6,151/x
  3. Step 3: Cross multiply
    4,838x = 6,151 × 6,151
  4. Step 4: Simplify right side
    4,838x = 37,834,801
  5. Step 5: Solve for x
    x = 37,834,801/4,838
  6. Step 6: Final answer
    x = 7,820.34

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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.