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Finding the Third Proportional to 28,098 and 37,584

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Solution

The third proportional to 28,098 and 37,584 is: 50,272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,098 : 37,584 = 37,584 : x
  2. Step 2: Convert to fraction form
    28,098/37,584 = 37,584/x
  3. Step 3: Cross multiply
    28,098x = 37,584 × 37,584
  4. Step 4: Simplify right side
    28,098x = 1,412,557,056
  5. Step 5: Solve for x
    x = 1,412,557,056/28,098
  6. Step 6: Final answer
    x = 50,272.51

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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.