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Finding the Third Proportional to 33,911.16 and 53,738.44

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Solution

The third proportional to 33,911.16 and 53,738.44 is: 85,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,911.16 : 53,738.44 = 53,738.44 : x
  2. Step 2: Convert to fraction form
    33,911.16/53,738.44 = 53,738.44/x
  3. Step 3: Cross multiply
    33,911.16x = 53,738.44 × 53,738.44
  4. Step 4: Simplify right side
    33,911.16x = 2,887,819,664.94
  5. Step 5: Solve for x
    x = 2,887,819,664.94/33,911.16
  6. Step 6: Final answer
    x = 85,158.40

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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.