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Finding the Third Proportional to 4,988 and 11,678

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Solution

The third proportional to 4,988 and 11,678 is: 27,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,988 : 11,678 = 11,678 : x
  2. Step 2: Convert to fraction form
    4,988/11,678 = 11,678/x
  3. Step 3: Cross multiply
    4,988x = 11,678 × 11,678
  4. Step 4: Simplify right side
    4,988x = 136,375,684
  5. Step 5: Solve for x
    x = 136,375,684/4,988
  6. Step 6: Final answer
    x = 27,340.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.