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Finding the Third Proportional to 39,910 and 58,109

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Solution

The third proportional to 39,910 and 58,109 is: 84,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,910 : 58,109 = 58,109 : x
  2. Step 2: Convert to fraction form
    39,910/58,109 = 58,109/x
  3. Step 3: Cross multiply
    39,910x = 58,109 × 58,109
  4. Step 4: Simplify right side
    39,910x = 3,376,655,881
  5. Step 5: Solve for x
    x = 3,376,655,881/39,910
  6. Step 6: Final answer
    x = 84,606.76

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