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Finding the Third Proportional to 25,161.75 and 51,415.88

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Solution

The third proportional to 25,161.75 and 51,415.88 is: 105,063.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,161.75 : 51,415.88 = 51,415.88 : x
  2. Step 2: Convert to fraction form
    25,161.75/51,415.88 = 51,415.88/x
  3. Step 3: Cross multiply
    25,161.75x = 51,415.88 × 51,415.88
  4. Step 4: Simplify right side
    25,161.75x = 2,643,592,202.02
  5. Step 5: Solve for x
    x = 2,643,592,202.02/25,161.75
  6. Step 6: Final answer
    x = 105,063.92

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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.