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Finding the Third Proportional to 5,546 and 13,385

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Solution

The third proportional to 5,546 and 13,385 is: 32,304.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546 : 13,385 = 13,385 : x
  2. Step 2: Convert to fraction form
    5,546/13,385 = 13,385/x
  3. Step 3: Cross multiply
    5,546x = 13,385 × 13,385
  4. Step 4: Simplify right side
    5,546x = 179,158,225
  5. Step 5: Solve for x
    x = 179,158,225/5,546
  6. Step 6: Final answer
    x = 32,304.04

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.