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Finding the Third Proportional to 37,594 and 82,627

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Solution

The third proportional to 37,594 and 82,627 is: 181,604.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,594 : 82,627 = 82,627 : x
  2. Step 2: Convert to fraction form
    37,594/82,627 = 82,627/x
  3. Step 3: Cross multiply
    37,594x = 82,627 × 82,627
  4. Step 4: Simplify right side
    37,594x = 6,827,221,129
  5. Step 5: Solve for x
    x = 6,827,221,129/37,594
  6. Step 6: Final answer
    x = 181,604.01

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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.