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Finding the Third Proportional to 23,836 and 35,037

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Solution

The third proportional to 23,836 and 35,037 is: 51,501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,836 : 35,037 = 35,037 : x
  2. Step 2: Convert to fraction form
    23,836/35,037 = 35,037/x
  3. Step 3: Cross multiply
    23,836x = 35,037 × 35,037
  4. Step 4: Simplify right side
    23,836x = 1,227,591,369
  5. Step 5: Solve for x
    x = 1,227,591,369/23,836
  6. Step 6: Final answer
    x = 51,501.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.