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Finding the Third Proportional to 39,906 and 58,104

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Solution

The third proportional to 39,906 and 58,104 is: 84,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,906 : 58,104 = 58,104 : x
  2. Step 2: Convert to fraction form
    39,906/58,104 = 58,104/x
  3. Step 3: Cross multiply
    39,906x = 58,104 × 58,104
  4. Step 4: Simplify right side
    39,906x = 3,376,074,816
  5. Step 5: Solve for x
    x = 3,376,074,816/39,906
  6. Step 6: Final answer
    x = 84,600.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.