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Finding the Third Proportional to 37,715 and 82,963

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Solution

The third proportional to 37,715 and 82,963 is: 182,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,715 : 82,963 = 82,963 : x
  2. Step 2: Convert to fraction form
    37,715/82,963 = 82,963/x
  3. Step 3: Cross multiply
    37,715x = 82,963 × 82,963
  4. Step 4: Simplify right side
    37,715x = 6,882,859,369
  5. Step 5: Solve for x
    x = 6,882,859,369/37,715
  6. Step 6: Final answer
    x = 182,496.60

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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.