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Finding the Third Proportional to 12,371 and 29,185

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Solution

The third proportional to 12,371 and 29,185 is: 68,851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371 : 29,185 = 29,185 : x
  2. Step 2: Convert to fraction form
    12,371/29,185 = 29,185/x
  3. Step 3: Cross multiply
    12,371x = 29,185 × 29,185
  4. Step 4: Simplify right side
    12,371x = 851,764,225
  5. Step 5: Solve for x
    x = 851,764,225/12,371
  6. Step 6: Final answer
    x = 68,851.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.