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Finding the Third Proportional to 10,218.94 and 13,732.88

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Solution

The third proportional to 10,218.94 and 13,732.88 is: 18,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.94 : 13,732.88 = 13,732.88 : x
  2. Step 2: Convert to fraction form
    10,218.94/13,732.88 = 13,732.88/x
  3. Step 3: Cross multiply
    10,218.94x = 13,732.88 × 13,732.88
  4. Step 4: Simplify right side
    10,218.94x = 188,591,855.77
  5. Step 5: Solve for x
    x = 188,591,855.77/10,218.94
  6. Step 6: Final answer
    x = 18,455.13

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.