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Finding the Third Proportional to 28,208 and 37,308

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Solution

The third proportional to 28,208 and 37,308 is: 49,343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,208 : 37,308 = 37,308 : x
  2. Step 2: Convert to fraction form
    28,208/37,308 = 37,308/x
  3. Step 3: Cross multiply
    28,208x = 37,308 × 37,308
  4. Step 4: Simplify right side
    28,208x = 1,391,886,864
  5. Step 5: Solve for x
    x = 1,391,886,864/28,208
  6. Step 6: Final answer
    x = 49,343.69

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.