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Finding the Third Proportional to 17,462 and 26,265

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Solution

The third proportional to 17,462 and 26,265 is: 39,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,462 : 26,265 = 26,265 : x
  2. Step 2: Convert to fraction form
    17,462/26,265 = 26,265/x
  3. Step 3: Cross multiply
    17,462x = 26,265 × 26,265
  4. Step 4: Simplify right side
    17,462x = 689,850,225
  5. Step 5: Solve for x
    x = 689,850,225/17,462
  6. Step 6: Final answer
    x = 39,505.80

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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.