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Finding the Third Proportional to 25,651.69 and 51,975.42

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Solution

The third proportional to 25,651.69 and 51,975.42 is: 105,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,651.69 : 51,975.42 = 51,975.42 : x
  2. Step 2: Convert to fraction form
    25,651.69/51,975.42 = 51,975.42/x
  3. Step 3: Cross multiply
    25,651.69x = 51,975.42 × 51,975.42
  4. Step 4: Simplify right side
    25,651.69x = 2,701,444,479.08
  5. Step 5: Solve for x
    x = 2,701,444,479.08/25,651.69
  6. Step 6: Final answer
    x = 105,312.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.