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Finding the Third Proportional to 10,616 and 25,652

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Solution

The third proportional to 10,616 and 25,652 is: 61,984.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616 : 25,652 = 25,652 : x
  2. Step 2: Convert to fraction form
    10,616/25,652 = 25,652/x
  3. Step 3: Cross multiply
    10,616x = 25,652 × 25,652
  4. Step 4: Simplify right side
    10,616x = 658,025,104
  5. Step 5: Solve for x
    x = 658,025,104/10,616
  6. Step 6: Final answer
    x = 61,984.28

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.