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Finding the Third Proportional to 12,954.94 and 20,662.59

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Solution

The third proportional to 12,954.94 and 20,662.59 is: 32,955.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.94 : 20,662.59 = 20,662.59 : x
  2. Step 2: Convert to fraction form
    12,954.94/20,662.59 = 20,662.59/x
  3. Step 3: Cross multiply
    12,954.94x = 20,662.59 × 20,662.59
  4. Step 4: Simplify right side
    12,954.94x = 426,942,780.48
  5. Step 5: Solve for x
    x = 426,942,780.48/12,954.94
  6. Step 6: Final answer
    x = 32,955.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.