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Finding the Third Proportional to 12,964.38 and 28,003.94

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Solution

The third proportional to 12,964.38 and 28,003.94 is: 60,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.38 : 28,003.94 = 28,003.94 : x
  2. Step 2: Convert to fraction form
    12,964.38/28,003.94 = 28,003.94/x
  3. Step 3: Cross multiply
    12,964.38x = 28,003.94 × 28,003.94
  4. Step 4: Simplify right side
    12,964.38x = 784,220,515.50
  5. Step 5: Solve for x
    x = 784,220,515.50/12,964.38
  6. Step 6: Final answer
    x = 60,490.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.