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Finding the Third Proportional to 14,097.94 and 20,480.63

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Solution

The third proportional to 14,097.94 and 20,480.63 is: 29,753.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.94 : 20,480.63 = 20,480.63 : x
  2. Step 2: Convert to fraction form
    14,097.94/20,480.63 = 20,480.63/x
  3. Step 3: Cross multiply
    14,097.94x = 20,480.63 × 20,480.63
  4. Step 4: Simplify right side
    14,097.94x = 419,456,000.39
  5. Step 5: Solve for x
    x = 419,456,000.39/14,097.94
  6. Step 6: Final answer
    x = 29,753.00

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.