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Finding the Third Proportional to 25,891 and 56,013

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Solution

The third proportional to 25,891 and 56,013 is: 121,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,891 : 56,013 = 56,013 : x
  2. Step 2: Convert to fraction form
    25,891/56,013 = 56,013/x
  3. Step 3: Cross multiply
    25,891x = 56,013 × 56,013
  4. Step 4: Simplify right side
    25,891x = 3,137,456,169
  5. Step 5: Solve for x
    x = 3,137,456,169/25,891
  6. Step 6: Final answer
    x = 121,179.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.