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Finding the Third Proportional to 36,633 and 80,302.50

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Solution

The third proportional to 36,633 and 80,302.50 is: 176,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,633 : 80,302.50 = 80,302.50 : x
  2. Step 2: Convert to fraction form
    36,633/80,302.50 = 80,302.50/x
  3. Step 3: Cross multiply
    36,633x = 80,302.50 × 80,302.50
  4. Step 4: Simplify right side
    36,633x = 6,448,491,506.25
  5. Step 5: Solve for x
    x = 6,448,491,506.25/36,633
  6. Step 6: Final answer
    x = 176,029.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.