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Finding the Third Proportional to 26,868 and 58,722

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Solution

The third proportional to 26,868 and 58,722 is: 128,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,868 : 58,722 = 58,722 : x
  2. Step 2: Convert to fraction form
    26,868/58,722 = 58,722/x
  3. Step 3: Cross multiply
    26,868x = 58,722 × 58,722
  4. Step 4: Simplify right side
    26,868x = 3,448,273,284
  5. Step 5: Solve for x
    x = 3,448,273,284/26,868
  6. Step 6: Final answer
    x = 128,341.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.