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Finding the Third Proportional to 2,424.38 and 2,811.94

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Solution

The third proportional to 2,424.38 and 2,811.94 is: 3,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.38 : 2,811.94 = 2,811.94 : x
  2. Step 2: Convert to fraction form
    2,424.38/2,811.94 = 2,811.94/x
  3. Step 3: Cross multiply
    2,424.38x = 2,811.94 × 2,811.94
  4. Step 4: Simplify right side
    2,424.38x = 7,906,992.50
  5. Step 5: Solve for x
    x = 7,906,992.50/2,424.38
  6. Step 6: Final answer
    x = 3,261.46

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.