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Finding the Third Proportional to 9,903.94 and 20,631.38

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Solution

The third proportional to 9,903.94 and 20,631.38 is: 42,978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.94 : 20,631.38 = 20,631.38 : x
  2. Step 2: Convert to fraction form
    9,903.94/20,631.38 = 20,631.38/x
  3. Step 3: Cross multiply
    9,903.94x = 20,631.38 × 20,631.38
  4. Step 4: Simplify right side
    9,903.94x = 425,653,634.39
  5. Step 5: Solve for x
    x = 425,653,634.39/9,903.94
  6. Step 6: Final answer
    x = 42,978.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.