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Finding the Third Proportional to 17,696 and 26,624

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Solution

The third proportional to 17,696 and 26,624 is: 40,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696 : 26,624 = 26,624 : x
  2. Step 2: Convert to fraction form
    17,696/26,624 = 26,624/x
  3. Step 3: Cross multiply
    17,696x = 26,624 × 26,624
  4. Step 4: Simplify right side
    17,696x = 708,837,376
  5. Step 5: Solve for x
    x = 708,837,376/17,696
  6. Step 6: Final answer
    x = 40,056.36

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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.