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Finding the Third Proportional to 26,200 and 55,640

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Solution

The third proportional to 26,200 and 55,640 is: 118,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,200 : 55,640 = 55,640 : x
  2. Step 2: Convert to fraction form
    26,200/55,640 = 55,640/x
  3. Step 3: Cross multiply
    26,200x = 55,640 × 55,640
  4. Step 4: Simplify right side
    26,200x = 3,095,809,600
  5. Step 5: Solve for x
    x = 3,095,809,600/26,200
  6. Step 6: Final answer
    x = 118,160.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.