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Finding the Third Proportional to 16,766 and 31,156

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Solution

The third proportional to 16,766 and 31,156 is: 57,896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,766 : 31,156 = 31,156 : x
  2. Step 2: Convert to fraction form
    16,766/31,156 = 31,156/x
  3. Step 3: Cross multiply
    16,766x = 31,156 × 31,156
  4. Step 4: Simplify right side
    16,766x = 970,696,336
  5. Step 5: Solve for x
    x = 970,696,336/16,766
  6. Step 6: Final answer
    x = 57,896.72

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.