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Finding the Third Proportional to 37,504 and 80,840

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Solution

The third proportional to 37,504 and 80,840 is: 174,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,504 : 80,840 = 80,840 : x
  2. Step 2: Convert to fraction form
    37,504/80,840 = 80,840/x
  3. Step 3: Cross multiply
    37,504x = 80,840 × 80,840
  4. Step 4: Simplify right side
    37,504x = 6,535,105,600
  5. Step 5: Solve for x
    x = 6,535,105,600/37,504
  6. Step 6: Final answer
    x = 174,250.90

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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.