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Finding the Third Proportional to 13,220.72 and 28,423.41

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Solution

The third proportional to 13,220.72 and 28,423.41 is: 61,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.72 : 28,423.41 = 28,423.41 : x
  2. Step 2: Convert to fraction form
    13,220.72/28,423.41 = 28,423.41/x
  3. Step 3: Cross multiply
    13,220.72x = 28,423.41 × 28,423.41
  4. Step 4: Simplify right side
    13,220.72x = 807,890,022.85
  5. Step 5: Solve for x
    x = 807,890,022.85/13,220.72
  6. Step 6: Final answer
    x = 61,107.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.