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Finding the Third Proportional to 25,013 and 35,179

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Solution

The third proportional to 25,013 and 35,179 is: 49,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,013 : 35,179 = 35,179 : x
  2. Step 2: Convert to fraction form
    25,013/35,179 = 35,179/x
  3. Step 3: Cross multiply
    25,013x = 35,179 × 35,179
  4. Step 4: Simplify right side
    25,013x = 1,237,562,041
  5. Step 5: Solve for x
    x = 1,237,562,041/25,013
  6. Step 6: Final answer
    x = 49,476.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.