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Finding the Third Proportional to 23,037 and 48,395

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Solution

The third proportional to 23,037 and 48,395 is: 101,665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,037 : 48,395 = 48,395 : x
  2. Step 2: Convert to fraction form
    23,037/48,395 = 48,395/x
  3. Step 3: Cross multiply
    23,037x = 48,395 × 48,395
  4. Step 4: Simplify right side
    23,037x = 2,342,076,025
  5. Step 5: Solve for x
    x = 2,342,076,025/23,037
  6. Step 6: Final answer
    x = 101,665.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.