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Finding the Third Proportional to 36,532.69 and 54,653.06

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Solution

The third proportional to 36,532.69 and 54,653.06 is: 81,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,532.69 : 54,653.06 = 54,653.06 : x
  2. Step 2: Convert to fraction form
    36,532.69/54,653.06 = 54,653.06/x
  3. Step 3: Cross multiply
    36,532.69x = 54,653.06 × 54,653.06
  4. Step 4: Simplify right side
    36,532.69x = 2,986,957,240.63
  5. Step 5: Solve for x
    x = 2,986,957,240.63/36,532.69
  6. Step 6: Final answer
    x = 81,761.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.