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Finding the Third Proportional to 15,938 and 35,093

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Solution

The third proportional to 15,938 and 35,093 is: 77,269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,938 : 35,093 = 35,093 : x
  2. Step 2: Convert to fraction form
    15,938/35,093 = 35,093/x
  3. Step 3: Cross multiply
    15,938x = 35,093 × 35,093
  4. Step 4: Simplify right side
    15,938x = 1,231,518,649
  5. Step 5: Solve for x
    x = 1,231,518,649/15,938
  6. Step 6: Final answer
    x = 77,269.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.