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Finding the Third Proportional to 36,532.50 and 57,105.56

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Solution

The third proportional to 36,532.50 and 57,105.56 is: 89,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,532.50 : 57,105.56 = 57,105.56 : x
  2. Step 2: Convert to fraction form
    36,532.50/57,105.56 = 57,105.56/x
  3. Step 3: Cross multiply
    36,532.50x = 57,105.56 × 57,105.56
  4. Step 4: Simplify right side
    36,532.50x = 3,261,045,268.44
  5. Step 5: Solve for x
    x = 3,261,045,268.44/36,532.50
  6. Step 6: Final answer
    x = 89,264.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.