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Finding the Third Proportional to 37,594 and 82,628

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Solution

The third proportional to 37,594 and 82,628 is: 181,608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,594 : 82,628 = 82,628 : x
  2. Step 2: Convert to fraction form
    37,594/82,628 = 82,628/x
  3. Step 3: Cross multiply
    37,594x = 82,628 × 82,628
  4. Step 4: Simplify right side
    37,594x = 6,827,386,384
  5. Step 5: Solve for x
    x = 6,827,386,384/37,594
  6. Step 6: Final answer
    x = 181,608.41

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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.