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Finding the Third Proportional to 17,406 and 26,033

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Solution

The third proportional to 17,406 and 26,033 is: 38,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406 : 26,033 = 26,033 : x
  2. Step 2: Convert to fraction form
    17,406/26,033 = 26,033/x
  3. Step 3: Cross multiply
    17,406x = 26,033 × 26,033
  4. Step 4: Simplify right side
    17,406x = 677,717,089
  5. Step 5: Solve for x
    x = 677,717,089/17,406
  6. Step 6: Final answer
    x = 38,935.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.