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Finding the Third Proportional to 12,813.19 and 17,240.34

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Solution

The third proportional to 12,813.19 and 17,240.34 is: 23,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.19 : 17,240.34 = 17,240.34 : x
  2. Step 2: Convert to fraction form
    12,813.19/17,240.34 = 17,240.34/x
  3. Step 3: Cross multiply
    12,813.19x = 17,240.34 × 17,240.34
  4. Step 4: Simplify right side
    12,813.19x = 297,229,452.62
  5. Step 5: Solve for x
    x = 297,229,452.62/12,813.19
  6. Step 6: Final answer
    x = 23,197.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.