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Finding the Third Proportional to 37,532 and 82,445

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Solution

The third proportional to 37,532 and 82,445 is: 181,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,532 : 82,445 = 82,445 : x
  2. Step 2: Convert to fraction form
    37,532/82,445 = 82,445/x
  3. Step 3: Cross multiply
    37,532x = 82,445 × 82,445
  4. Step 4: Simplify right side
    37,532x = 6,797,178,025
  5. Step 5: Solve for x
    x = 6,797,178,025/37,532
  6. Step 6: Final answer
    x = 181,103.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.