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Finding the Third Proportional to 12,328.88 and 17,445.09

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Solution

The third proportional to 12,328.88 and 17,445.09 is: 24,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.88 : 17,445.09 = 17,445.09 : x
  2. Step 2: Convert to fraction form
    12,328.88/17,445.09 = 17,445.09/x
  3. Step 3: Cross multiply
    12,328.88x = 17,445.09 × 17,445.09
  4. Step 4: Simplify right side
    12,328.88x = 304,331,295.95
  5. Step 5: Solve for x
    x = 304,331,295.95/12,328.88
  6. Step 6: Final answer
    x = 24,684.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.