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Finding the Third Proportional to 12,414.94 and 15,940.13

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Solution

The third proportional to 12,414.94 and 15,940.13 is: 20,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.94 : 15,940.13 = 15,940.13 : x
  2. Step 2: Convert to fraction form
    12,414.94/15,940.13 = 15,940.13/x
  3. Step 3: Cross multiply
    12,414.94x = 15,940.13 × 15,940.13
  4. Step 4: Simplify right side
    12,414.94x = 254,087,585.02
  5. Step 5: Solve for x
    x = 254,087,585.02/12,414.94
  6. Step 6: Final answer
    x = 20,466.28

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.