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Finding the Third Proportional to 36,782.25 and 58,274.25

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Solution

The third proportional to 36,782.25 and 58,274.25 is: 92,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,782.25 : 58,274.25 = 58,274.25 : x
  2. Step 2: Convert to fraction form
    36,782.25/58,274.25 = 58,274.25/x
  3. Step 3: Cross multiply
    36,782.25x = 58,274.25 × 58,274.25
  4. Step 4: Simplify right side
    36,782.25x = 3,395,888,213.06
  5. Step 5: Solve for x
    x = 3,395,888,213.06/36,782.25
  6. Step 6: Final answer
    x = 92,324.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.