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Finding the Third Proportional to 26,530 and 55,232

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Solution

The third proportional to 26,530 and 55,232 is: 114,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,530 : 55,232 = 55,232 : x
  2. Step 2: Convert to fraction form
    26,530/55,232 = 55,232/x
  3. Step 3: Cross multiply
    26,530x = 55,232 × 55,232
  4. Step 4: Simplify right side
    26,530x = 3,050,573,824
  5. Step 5: Solve for x
    x = 3,050,573,824/26,530
  6. Step 6: Final answer
    x = 114,985.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.