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Finding the Third Proportional to 25,647 and 55,125

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Solution

The third proportional to 25,647 and 55,125 is: 118,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,647 : 55,125 = 55,125 : x
  2. Step 2: Convert to fraction form
    25,647/55,125 = 55,125/x
  3. Step 3: Cross multiply
    25,647x = 55,125 × 55,125
  4. Step 4: Simplify right side
    25,647x = 3,038,765,625
  5. Step 5: Solve for x
    x = 3,038,765,625/25,647
  6. Step 6: Final answer
    x = 118,484.25

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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.