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Finding the Third Proportional to 4,616 and 10,804

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Solution

The third proportional to 4,616 and 10,804 is: 25,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616 : 10,804 = 10,804 : x
  2. Step 2: Convert to fraction form
    4,616/10,804 = 10,804/x
  3. Step 3: Cross multiply
    4,616x = 10,804 × 10,804
  4. Step 4: Simplify right side
    4,616x = 116,726,416
  5. Step 5: Solve for x
    x = 116,726,416/4,616
  6. Step 6: Final answer
    x = 25,287.35

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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.