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Finding the Third Proportional to 13,966.80 and 17,932.64

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Solution

The third proportional to 13,966.80 and 17,932.64 is: 23,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966.80 : 17,932.64 = 17,932.64 : x
  2. Step 2: Convert to fraction form
    13,966.80/17,932.64 = 17,932.64/x
  3. Step 3: Cross multiply
    13,966.80x = 17,932.64 × 17,932.64
  4. Step 4: Simplify right side
    13,966.80x = 321,579,599.79
  5. Step 5: Solve for x
    x = 321,579,599.79/13,966.80
  6. Step 6: Final answer
    x = 23,024.56

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