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Finding the Third Proportional to 26,936 and 58,160

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Solution

The third proportional to 26,936 and 58,160 is: 125,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,936 : 58,160 = 58,160 : x
  2. Step 2: Convert to fraction form
    26,936/58,160 = 58,160/x
  3. Step 3: Cross multiply
    26,936x = 58,160 × 58,160
  4. Step 4: Simplify right side
    26,936x = 3,382,585,600
  5. Step 5: Solve for x
    x = 3,382,585,600/26,936
  6. Step 6: Final answer
    x = 125,578.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.