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Finding the Third Proportional to 36,580 and 58,173

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Solution

The third proportional to 36,580 and 58,173 is: 92,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,580 : 58,173 = 58,173 : x
  2. Step 2: Convert to fraction form
    36,580/58,173 = 58,173/x
  3. Step 3: Cross multiply
    36,580x = 58,173 × 58,173
  4. Step 4: Simplify right side
    36,580x = 3,384,097,929
  5. Step 5: Solve for x
    x = 3,384,097,929/36,580
  6. Step 6: Final answer
    x = 92,512.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.