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Finding the Third Proportional to 13,429.97 and 20,728.69

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Solution

The third proportional to 13,429.97 and 20,728.69 is: 31,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.97 : 20,728.69 = 20,728.69 : x
  2. Step 2: Convert to fraction form
    13,429.97/20,728.69 = 20,728.69/x
  3. Step 3: Cross multiply
    13,429.97x = 20,728.69 × 20,728.69
  4. Step 4: Simplify right side
    13,429.97x = 429,678,485.47
  5. Step 5: Solve for x
    x = 429,678,485.47/13,429.97
  6. Step 6: Final answer
    x = 31,994.00

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.