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Finding the Third Proportional to 25,616 and 55,183

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Solution

The third proportional to 25,616 and 55,183 is: 118,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,616 : 55,183 = 55,183 : x
  2. Step 2: Convert to fraction form
    25,616/55,183 = 55,183/x
  3. Step 3: Cross multiply
    25,616x = 55,183 × 55,183
  4. Step 4: Simplify right side
    25,616x = 3,045,163,489
  5. Step 5: Solve for x
    x = 3,045,163,489/25,616
  6. Step 6: Final answer
    x = 118,877.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.