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Finding the Third Proportional to 16,769 and 26,695

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Solution

The third proportional to 16,769 and 26,695 is: 42,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,769 : 26,695 = 26,695 : x
  2. Step 2: Convert to fraction form
    16,769/26,695 = 26,695/x
  3. Step 3: Cross multiply
    16,769x = 26,695 × 26,695
  4. Step 4: Simplify right side
    16,769x = 712,623,025
  5. Step 5: Solve for x
    x = 712,623,025/16,769
  6. Step 6: Final answer
    x = 42,496.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.