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Finding the Third Proportional to 5,850 and 13,635

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Solution

The third proportional to 5,850 and 13,635 is: 31,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850 : 13,635 = 13,635 : x
  2. Step 2: Convert to fraction form
    5,850/13,635 = 13,635/x
  3. Step 3: Cross multiply
    5,850x = 13,635 × 13,635
  4. Step 4: Simplify right side
    5,850x = 185,913,225
  5. Step 5: Solve for x
    x = 185,913,225/5,850
  6. Step 6: Final answer
    x = 31,780.04

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.