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Finding the Third Proportional to 37,026 and 80,204.63

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Solution

The third proportional to 37,026 and 80,204.63 is: 173,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,026 : 80,204.63 = 80,204.63 : x
  2. Step 2: Convert to fraction form
    37,026/80,204.63 = 80,204.63/x
  3. Step 3: Cross multiply
    37,026x = 80,204.63 × 80,204.63
  4. Step 4: Simplify right side
    37,026x = 6,432,781,871.39
  5. Step 5: Solve for x
    x = 6,432,781,871.39/37,026
  6. Step 6: Final answer
    x = 173,736.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.