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Finding the Third Proportional to 36,110.81 and 53,120.81

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Solution

The third proportional to 36,110.81 and 53,120.81 is: 78,143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,110.81 : 53,120.81 = 53,120.81 : x
  2. Step 2: Convert to fraction form
    36,110.81/53,120.81 = 53,120.81/x
  3. Step 3: Cross multiply
    36,110.81x = 53,120.81 × 53,120.81
  4. Step 4: Simplify right side
    36,110.81x = 2,821,820,720.66
  5. Step 5: Solve for x
    x = 2,821,820,720.66/36,110.81
  6. Step 6: Final answer
    x = 78,143.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.