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Finding the Third Proportional to 16,928 and 26,368

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Solution

The third proportional to 16,928 and 26,368 is: 41,072.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,928 : 26,368 = 26,368 : x
  2. Step 2: Convert to fraction form
    16,928/26,368 = 26,368/x
  3. Step 3: Cross multiply
    16,928x = 26,368 × 26,368
  4. Step 4: Simplify right side
    16,928x = 695,271,424
  5. Step 5: Solve for x
    x = 695,271,424/16,928
  6. Step 6: Final answer
    x = 41,072.27

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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.