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Finding the Third Proportional to 36,244.75 and 43,423.75

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Solution

The third proportional to 36,244.75 and 43,423.75 is: 52,024.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,244.75 : 43,423.75 = 43,423.75 : x
  2. Step 2: Convert to fraction form
    36,244.75/43,423.75 = 43,423.75/x
  3. Step 3: Cross multiply
    36,244.75x = 43,423.75 × 43,423.75
  4. Step 4: Simplify right side
    36,244.75x = 1,885,622,064.06
  5. Step 5: Solve for x
    x = 1,885,622,064.06/36,244.75
  6. Step 6: Final answer
    x = 52,024.69

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.