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Finding the Third Proportional to 36,425 and 56,255

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Solution

The third proportional to 36,425 and 56,255 is: 86,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,425 : 56,255 = 56,255 : x
  2. Step 2: Convert to fraction form
    36,425/56,255 = 56,255/x
  3. Step 3: Cross multiply
    36,425x = 56,255 × 56,255
  4. Step 4: Simplify right side
    36,425x = 3,164,625,025
  5. Step 5: Solve for x
    x = 3,164,625,025/36,425
  6. Step 6: Final answer
    x = 86,880.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.