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Finding the Third Proportional to 16,696 and 26,000

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Solution

The third proportional to 16,696 and 26,000 is: 40,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,696 : 26,000 = 26,000 : x
  2. Step 2: Convert to fraction form
    16,696/26,000 = 26,000/x
  3. Step 3: Cross multiply
    16,696x = 26,000 × 26,000
  4. Step 4: Simplify right side
    16,696x = 676,000,000
  5. Step 5: Solve for x
    x = 676,000,000/16,696
  6. Step 6: Final answer
    x = 40,488.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.