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Finding the Third Proportional to 10,295.06 and 20,964.56

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Solution

The third proportional to 10,295.06 and 20,964.56 is: 42,691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.06 : 20,964.56 = 20,964.56 : x
  2. Step 2: Convert to fraction form
    10,295.06/20,964.56 = 20,964.56/x
  3. Step 3: Cross multiply
    10,295.06x = 20,964.56 × 20,964.56
  4. Step 4: Simplify right side
    10,295.06x = 439,512,880.82
  5. Step 5: Solve for x
    x = 439,512,880.82/10,295.06
  6. Step 6: Final answer
    x = 42,691.62

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.