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Finding the Third Proportional to 36,090.50 and 80,383

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Solution

The third proportional to 36,090.50 and 80,383 is: 179,034.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,090.50 : 80,383 = 80,383 : x
  2. Step 2: Convert to fraction form
    36,090.50/80,383 = 80,383/x
  3. Step 3: Cross multiply
    36,090.50x = 80,383 × 80,383
  4. Step 4: Simplify right side
    36,090.50x = 6,461,426,689
  5. Step 5: Solve for x
    x = 6,461,426,689/36,090.50
  6. Step 6: Final answer
    x = 179,034.00

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.