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Finding the Third Proportional to 7,602 and 17,616

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Solution

The third proportional to 7,602 and 17,616 is: 40,821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602 : 17,616 = 17,616 : x
  2. Step 2: Convert to fraction form
    7,602/17,616 = 17,616/x
  3. Step 3: Cross multiply
    7,602x = 17,616 × 17,616
  4. Step 4: Simplify right side
    7,602x = 310,323,456
  5. Step 5: Solve for x
    x = 310,323,456/7,602
  6. Step 6: Final answer
    x = 40,821.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.