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Finding the Third Proportional to 36,416.25 and 54,887.63

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Solution

The third proportional to 36,416.25 and 54,887.63 is: 82,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,416.25 : 54,887.63 = 54,887.63 : x
  2. Step 2: Convert to fraction form
    36,416.25/54,887.63 = 54,887.63/x
  3. Step 3: Cross multiply
    36,416.25x = 54,887.63 × 54,887.63
  4. Step 4: Simplify right side
    36,416.25x = 3,012,651,378.14
  5. Step 5: Solve for x
    x = 3,012,651,378.14/36,416.25
  6. Step 6: Final answer
    x = 82,728.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.