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Finding the Third Proportional to 23,048 and 34,425

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Solution

The third proportional to 23,048 and 34,425 is: 51,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048 : 34,425 = 34,425 : x
  2. Step 2: Convert to fraction form
    23,048/34,425 = 34,425/x
  3. Step 3: Cross multiply
    23,048x = 34,425 × 34,425
  4. Step 4: Simplify right side
    23,048x = 1,185,080,625
  5. Step 5: Solve for x
    x = 1,185,080,625/23,048
  6. Step 6: Final answer
    x = 51,417.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.