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Finding the Third Proportional to 25,041 and 51,009.75

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Solution

The third proportional to 25,041 and 51,009.75 is: 103,909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,041 : 51,009.75 = 51,009.75 : x
  2. Step 2: Convert to fraction form
    25,041/51,009.75 = 51,009.75/x
  3. Step 3: Cross multiply
    25,041x = 51,009.75 × 51,009.75
  4. Step 4: Simplify right side
    25,041x = 2,601,994,595.06
  5. Step 5: Solve for x
    x = 2,601,994,595.06/25,041
  6. Step 6: Final answer
    x = 103,909.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.