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Finding the Third Proportional to 12,025.75 and 17,573.13

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Solution

The third proportional to 12,025.75 and 17,573.13 is: 25,679.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.75 : 17,573.13 = 17,573.13 : x
  2. Step 2: Convert to fraction form
    12,025.75/17,573.13 = 17,573.13/x
  3. Step 3: Cross multiply
    12,025.75x = 17,573.13 × 17,573.13
  4. Step 4: Simplify right side
    12,025.75x = 308,814,722.27
  5. Step 5: Solve for x
    x = 308,814,722.27/12,025.75
  6. Step 6: Final answer
    x = 25,679.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.