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Finding the Third Proportional to 39,916 and 58,119

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Solution

The third proportional to 39,916 and 58,119 is: 84,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,916 : 58,119 = 58,119 : x
  2. Step 2: Convert to fraction form
    39,916/58,119 = 58,119/x
  3. Step 3: Cross multiply
    39,916x = 58,119 × 58,119
  4. Step 4: Simplify right side
    39,916x = 3,377,818,161
  5. Step 5: Solve for x
    x = 3,377,818,161/39,916
  6. Step 6: Final answer
    x = 84,623.16

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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.