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Finding the Third Proportional to 5,835 and 13,197

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Solution

The third proportional to 5,835 and 13,197 is: 29,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835 : 13,197 = 13,197 : x
  2. Step 2: Convert to fraction form
    5,835/13,197 = 13,197/x
  3. Step 3: Cross multiply
    5,835x = 13,197 × 13,197
  4. Step 4: Simplify right side
    5,835x = 174,160,809
  5. Step 5: Solve for x
    x = 174,160,809/5,835
  6. Step 6: Final answer
    x = 29,847.61

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.