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Finding the Third Proportional to 28,222 and 37,772

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Solution

The third proportional to 28,222 and 37,772 is: 50,553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,222 : 37,772 = 37,772 : x
  2. Step 2: Convert to fraction form
    28,222/37,772 = 37,772/x
  3. Step 3: Cross multiply
    28,222x = 37,772 × 37,772
  4. Step 4: Simplify right side
    28,222x = 1,426,723,984
  5. Step 5: Solve for x
    x = 1,426,723,984/28,222
  6. Step 6: Final answer
    x = 50,553.61

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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.