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Finding the Third Proportional to 12,608.44 and 17,133.19

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Solution

The third proportional to 12,608.44 and 17,133.19 is: 23,281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608.44 : 17,133.19 = 17,133.19 : x
  2. Step 2: Convert to fraction form
    12,608.44/17,133.19 = 17,133.19/x
  3. Step 3: Cross multiply
    12,608.44x = 17,133.19 × 17,133.19
  4. Step 4: Simplify right side
    12,608.44x = 293,546,113.91
  5. Step 5: Solve for x
    x = 293,546,113.91/12,608.44
  6. Step 6: Final answer
    x = 23,281.72

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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.