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Finding the Third Proportional to 23,138 and 34,275

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Solution

The third proportional to 23,138 and 34,275 is: 50,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,138 : 34,275 = 34,275 : x
  2. Step 2: Convert to fraction form
    23,138/34,275 = 34,275/x
  3. Step 3: Cross multiply
    23,138x = 34,275 × 34,275
  4. Step 4: Simplify right side
    23,138x = 1,174,775,625
  5. Step 5: Solve for x
    x = 1,174,775,625/23,138
  6. Step 6: Final answer
    x = 50,772.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.