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Finding the Third Proportional to 39,807 and 54,096

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Solution

The third proportional to 39,807 and 54,096 is: 73,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,807 : 54,096 = 54,096 : x
  2. Step 2: Convert to fraction form
    39,807/54,096 = 54,096/x
  3. Step 3: Cross multiply
    39,807x = 54,096 × 54,096
  4. Step 4: Simplify right side
    39,807x = 2,926,377,216
  5. Step 5: Solve for x
    x = 2,926,377,216/39,807
  6. Step 6: Final answer
    x = 73,514.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.