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Finding the Third Proportional to 25,042 and 51,012

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Solution

The third proportional to 25,042 and 51,012 is: 103,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,042 : 51,012 = 51,012 : x
  2. Step 2: Convert to fraction form
    25,042/51,012 = 51,012/x
  3. Step 3: Cross multiply
    25,042x = 51,012 × 51,012
  4. Step 4: Simplify right side
    25,042x = 2,602,224,144
  5. Step 5: Solve for x
    x = 2,602,224,144/25,042
  6. Step 6: Final answer
    x = 103,914.39

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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.