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Finding the Third Proportional to 3,441.38 and 4,998.94

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Solution

The third proportional to 3,441.38 and 4,998.94 is: 7,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.38 : 4,998.94 = 4,998.94 : x
  2. Step 2: Convert to fraction form
    3,441.38/4,998.94 = 4,998.94/x
  3. Step 3: Cross multiply
    3,441.38x = 4,998.94 × 4,998.94
  4. Step 4: Simplify right side
    3,441.38x = 24,989,376.13
  5. Step 5: Solve for x
    x = 24,989,376.13/3,441.38
  6. Step 6: Final answer
    x = 7,261.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.