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Finding the Third Proportional to 10,913 and 16,796

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Solution

The third proportional to 10,913 and 16,796 is: 25,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913 : 16,796 = 16,796 : x
  2. Step 2: Convert to fraction form
    10,913/16,796 = 16,796/x
  3. Step 3: Cross multiply
    10,913x = 16,796 × 16,796
  4. Step 4: Simplify right side
    10,913x = 282,105,616
  5. Step 5: Solve for x
    x = 282,105,616/10,913
  6. Step 6: Final answer
    x = 25,850.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.