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Finding the Third Proportional to 36,226 and 53,255

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Solution

The third proportional to 36,226 and 53,255 is: 78,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,226 : 53,255 = 53,255 : x
  2. Step 2: Convert to fraction form
    36,226/53,255 = 53,255/x
  3. Step 3: Cross multiply
    36,226x = 53,255 × 53,255
  4. Step 4: Simplify right side
    36,226x = 2,836,095,025
  5. Step 5: Solve for x
    x = 2,836,095,025/36,226
  6. Step 6: Final answer
    x = 78,288.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.