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Finding the Third Proportional to 37,318 and 54,883

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Solution

The third proportional to 37,318 and 54,883 is: 80,715.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,318 : 54,883 = 54,883 : x
  2. Step 2: Convert to fraction form
    37,318/54,883 = 54,883/x
  3. Step 3: Cross multiply
    37,318x = 54,883 × 54,883
  4. Step 4: Simplify right side
    37,318x = 3,012,143,689
  5. Step 5: Solve for x
    x = 3,012,143,689/37,318
  6. Step 6: Final answer
    x = 80,715.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.