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Finding the Third Proportional to 5,498 and 11,596

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Solution

The third proportional to 5,498 and 11,596 is: 24,457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498 : 11,596 = 11,596 : x
  2. Step 2: Convert to fraction form
    5,498/11,596 = 11,596/x
  3. Step 3: Cross multiply
    5,498x = 11,596 × 11,596
  4. Step 4: Simplify right side
    5,498x = 134,467,216
  5. Step 5: Solve for x
    x = 134,467,216/5,498
  6. Step 6: Final answer
    x = 24,457.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.