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Finding the Third Proportional to 12,201.19 and 16,573.50

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Solution

The third proportional to 12,201.19 and 16,573.50 is: 22,512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.19 : 16,573.50 = 16,573.50 : x
  2. Step 2: Convert to fraction form
    12,201.19/16,573.50 = 16,573.50/x
  3. Step 3: Cross multiply
    12,201.19x = 16,573.50 × 16,573.50
  4. Step 4: Simplify right side
    12,201.19x = 274,680,902.25
  5. Step 5: Solve for x
    x = 274,680,902.25/12,201.19
  6. Step 6: Final answer
    x = 22,512.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.