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Finding the Third Proportional to 37,729 and 82,369

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Solution

The third proportional to 37,729 and 82,369 is: 179,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,729 : 82,369 = 82,369 : x
  2. Step 2: Convert to fraction form
    37,729/82,369 = 82,369/x
  3. Step 3: Cross multiply
    37,729x = 82,369 × 82,369
  4. Step 4: Simplify right side
    37,729x = 6,784,652,161
  5. Step 5: Solve for x
    x = 6,784,652,161/37,729
  6. Step 6: Final answer
    x = 179,825.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.