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Finding the Third Proportional to 4,804 and 10,706

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Solution

The third proportional to 4,804 and 10,706 is: 23,858.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804 : 10,706 = 10,706 : x
  2. Step 2: Convert to fraction form
    4,804/10,706 = 10,706/x
  3. Step 3: Cross multiply
    4,804x = 10,706 × 10,706
  4. Step 4: Simplify right side
    4,804x = 114,618,436
  5. Step 5: Solve for x
    x = 114,618,436/4,804
  6. Step 6: Final answer
    x = 23,858.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.