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Finding the Third Proportional to 5,700 and 13,638

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Solution

The third proportional to 5,700 and 13,638 is: 32,630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700 : 13,638 = 13,638 : x
  2. Step 2: Convert to fraction form
    5,700/13,638 = 13,638/x
  3. Step 3: Cross multiply
    5,700x = 13,638 × 13,638
  4. Step 4: Simplify right side
    5,700x = 185,995,044
  5. Step 5: Solve for x
    x = 185,995,044/5,700
  6. Step 6: Final answer
    x = 32,630.71

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.