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Finding the Third Proportional to 23,148 and 33,723

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Solution

The third proportional to 23,148 and 33,723 is: 49,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,148 : 33,723 = 33,723 : x
  2. Step 2: Convert to fraction form
    23,148/33,723 = 33,723/x
  3. Step 3: Cross multiply
    23,148x = 33,723 × 33,723
  4. Step 4: Simplify right side
    23,148x = 1,137,240,729
  5. Step 5: Solve for x
    x = 1,137,240,729/23,148
  6. Step 6: Final answer
    x = 49,129.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.