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Finding the Third Proportional to 4,918 and 11,767

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Solution

The third proportional to 4,918 and 11,767 is: 28,154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,918 : 11,767 = 11,767 : x
  2. Step 2: Convert to fraction form
    4,918/11,767 = 11,767/x
  3. Step 3: Cross multiply
    4,918x = 11,767 × 11,767
  4. Step 4: Simplify right side
    4,918x = 138,462,289
  5. Step 5: Solve for x
    x = 138,462,289/4,918
  6. Step 6: Final answer
    x = 28,154.19

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.