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Finding the Third Proportional to 26,868 and 58,550

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Solution

The third proportional to 26,868 and 58,550 is: 127,590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,868 : 58,550 = 58,550 : x
  2. Step 2: Convert to fraction form
    26,868/58,550 = 58,550/x
  3. Step 3: Cross multiply
    26,868x = 58,550 × 58,550
  4. Step 4: Simplify right side
    26,868x = 3,428,102,500
  5. Step 5: Solve for x
    x = 3,428,102,500/26,868
  6. Step 6: Final answer
    x = 127,590.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.