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Finding the Third Proportional to 17,729 and 26,243

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Solution

The third proportional to 17,729 and 26,243 is: 38,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729 : 26,243 = 26,243 : x
  2. Step 2: Convert to fraction form
    17,729/26,243 = 26,243/x
  3. Step 3: Cross multiply
    17,729x = 26,243 × 26,243
  4. Step 4: Simplify right side
    17,729x = 688,695,049
  5. Step 5: Solve for x
    x = 688,695,049/17,729
  6. Step 6: Final answer
    x = 38,845.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.