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Finding the Third Proportional to 13,630.50 and 21,189

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Solution

The third proportional to 13,630.50 and 21,189 is: 32,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.50 : 21,189 = 21,189 : x
  2. Step 2: Convert to fraction form
    13,630.50/21,189 = 21,189/x
  3. Step 3: Cross multiply
    13,630.50x = 21,189 × 21,189
  4. Step 4: Simplify right side
    13,630.50x = 448,973,721
  5. Step 5: Solve for x
    x = 448,973,721/13,630.50
  6. Step 6: Final answer
    x = 32,938.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.