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Finding the Third Proportional to 17,534 and 26,823

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Solution

The third proportional to 17,534 and 26,823 is: 41,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534 : 26,823 = 26,823 : x
  2. Step 2: Convert to fraction form
    17,534/26,823 = 26,823/x
  3. Step 3: Cross multiply
    17,534x = 26,823 × 26,823
  4. Step 4: Simplify right side
    17,534x = 719,473,329
  5. Step 5: Solve for x
    x = 719,473,329/17,534
  6. Step 6: Final answer
    x = 41,033.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.