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Finding the Third Proportional to 30,760 and 41,052

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Solution

The third proportional to 30,760 and 41,052 is: 54,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,760 : 41,052 = 41,052 : x
  2. Step 2: Convert to fraction form
    30,760/41,052 = 41,052/x
  3. Step 3: Cross multiply
    30,760x = 41,052 × 41,052
  4. Step 4: Simplify right side
    30,760x = 1,685,266,704
  5. Step 5: Solve for x
    x = 1,685,266,704/30,760
  6. Step 6: Final answer
    x = 54,787.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.