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Finding the Third Proportional to 17,162 and 26,746

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Solution

The third proportional to 17,162 and 26,746 is: 41,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,162 : 26,746 = 26,746 : x
  2. Step 2: Convert to fraction form
    17,162/26,746 = 26,746/x
  3. Step 3: Cross multiply
    17,162x = 26,746 × 26,746
  4. Step 4: Simplify right side
    17,162x = 715,348,516
  5. Step 5: Solve for x
    x = 715,348,516/17,162
  6. Step 6: Final answer
    x = 41,682.12

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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.