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Finding the Third Proportional to 37,226.63 and 80,284.88

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Solution

The third proportional to 37,226.63 and 80,284.88 is: 173,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,226.63 : 80,284.88 = 80,284.88 : x
  2. Step 2: Convert to fraction form
    37,226.63/80,284.88 = 80,284.88/x
  3. Step 3: Cross multiply
    37,226.63x = 80,284.88 × 80,284.88
  4. Step 4: Simplify right side
    37,226.63x = 6,445,661,153.77
  5. Step 5: Solve for x
    x = 6,445,661,153.77/37,226.63
  6. Step 6: Final answer
    x = 173,146.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.