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Finding the Third Proportional to 17,302 and 26,695

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Solution

The third proportional to 17,302 and 26,695 is: 41,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302 : 26,695 = 26,695 : x
  2. Step 2: Convert to fraction form
    17,302/26,695 = 26,695/x
  3. Step 3: Cross multiply
    17,302x = 26,695 × 26,695
  4. Step 4: Simplify right side
    17,302x = 712,623,025
  5. Step 5: Solve for x
    x = 712,623,025/17,302
  6. Step 6: Final answer
    x = 41,187.32

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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.