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Finding the Third Proportional to 12,956.50 and 20,007.38

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Solution

The third proportional to 12,956.50 and 20,007.38 is: 30,895.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,956.50 : 20,007.38 = 20,007.38 : x
  2. Step 2: Convert to fraction form
    12,956.50/20,007.38 = 20,007.38/x
  3. Step 3: Cross multiply
    12,956.50x = 20,007.38 × 20,007.38
  4. Step 4: Simplify right side
    12,956.50x = 400,295,054.39
  5. Step 5: Solve for x
    x = 400,295,054.39/12,956.50
  6. Step 6: Final answer
    x = 30,895.31

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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.