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Finding the Third Proportional to 2,475.94 and 4,992.38

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Solution

The third proportional to 2,475.94 and 4,992.38 is: 10,066.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.94 : 4,992.38 = 4,992.38 : x
  2. Step 2: Convert to fraction form
    2,475.94/4,992.38 = 4,992.38/x
  3. Step 3: Cross multiply
    2,475.94x = 4,992.38 × 4,992.38
  4. Step 4: Simplify right side
    2,475.94x = 24,923,808.14
  5. Step 5: Solve for x
    x = 24,923,808.14/2,475.94
  6. Step 6: Final answer
    x = 10,066.41

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.