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Finding the Third Proportional to 28,048 and 37,590

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Solution

The third proportional to 28,048 and 37,590 is: 50,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,048 : 37,590 = 37,590 : x
  2. Step 2: Convert to fraction form
    28,048/37,590 = 37,590/x
  3. Step 3: Cross multiply
    28,048x = 37,590 × 37,590
  4. Step 4: Simplify right side
    28,048x = 1,413,008,100
  5. Step 5: Solve for x
    x = 1,413,008,100/28,048
  6. Step 6: Final answer
    x = 50,378.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.