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Finding the Third Proportional to 3,106 and 4,767

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Solution

The third proportional to 3,106 and 4,767 is: 7,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106 : 4,767 = 4,767 : x
  2. Step 2: Convert to fraction form
    3,106/4,767 = 4,767/x
  3. Step 3: Cross multiply
    3,106x = 4,767 × 4,767
  4. Step 4: Simplify right side
    3,106x = 22,724,289
  5. Step 5: Solve for x
    x = 22,724,289/3,106
  6. Step 6: Final answer
    x = 7,316.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.