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Finding the Third Proportional to 17,544.50 and 26,966

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Solution

The third proportional to 17,544.50 and 26,966 is: 41,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,544.50 : 26,966 = 26,966 : x
  2. Step 2: Convert to fraction form
    17,544.50/26,966 = 26,966/x
  3. Step 3: Cross multiply
    17,544.50x = 26,966 × 26,966
  4. Step 4: Simplify right side
    17,544.50x = 727,165,156
  5. Step 5: Solve for x
    x = 727,165,156/17,544.50
  6. Step 6: Final answer
    x = 41,446.90

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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.