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Finding the Third Proportional to 4,886 and 12,151

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Solution

The third proportional to 4,886 and 12,151 is: 30,218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886 : 12,151 = 12,151 : x
  2. Step 2: Convert to fraction form
    4,886/12,151 = 12,151/x
  3. Step 3: Cross multiply
    4,886x = 12,151 × 12,151
  4. Step 4: Simplify right side
    4,886x = 147,646,801
  5. Step 5: Solve for x
    x = 147,646,801/4,886
  6. Step 6: Final answer
    x = 30,218.34

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.