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Finding the Third Proportional to 28,088 and 37,812

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Solution

The third proportional to 28,088 and 37,812 is: 50,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,088 : 37,812 = 37,812 : x
  2. Step 2: Convert to fraction form
    28,088/37,812 = 37,812/x
  3. Step 3: Cross multiply
    28,088x = 37,812 × 37,812
  4. Step 4: Simplify right side
    28,088x = 1,429,747,344
  5. Step 5: Solve for x
    x = 1,429,747,344/28,088
  6. Step 6: Final answer
    x = 50,902.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.