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Finding the Third Proportional to 25,236 and 35,073

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Solution

The third proportional to 25,236 and 35,073 is: 48,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,236 : 35,073 = 35,073 : x
  2. Step 2: Convert to fraction form
    25,236/35,073 = 35,073/x
  3. Step 3: Cross multiply
    25,236x = 35,073 × 35,073
  4. Step 4: Simplify right side
    25,236x = 1,230,115,329
  5. Step 5: Solve for x
    x = 1,230,115,329/25,236
  6. Step 6: Final answer
    x = 48,744.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.