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Finding the Third Proportional to 39,914 and 58,115

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Solution

The third proportional to 39,914 and 58,115 is: 84,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,914 : 58,115 = 58,115 : x
  2. Step 2: Convert to fraction form
    39,914/58,115 = 58,115/x
  3. Step 3: Cross multiply
    39,914x = 58,115 × 58,115
  4. Step 4: Simplify right side
    39,914x = 3,377,353,225
  5. Step 5: Solve for x
    x = 3,377,353,225/39,914
  6. Step 6: Final answer
    x = 84,615.75

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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.