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Finding the Third Proportional to 4,549 and 7,141

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Solution

The third proportional to 4,549 and 7,141 is: 11,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549 : 7,141 = 7,141 : x
  2. Step 2: Convert to fraction form
    4,549/7,141 = 7,141/x
  3. Step 3: Cross multiply
    4,549x = 7,141 × 7,141
  4. Step 4: Simplify right side
    4,549x = 50,993,881
  5. Step 5: Solve for x
    x = 50,993,881/4,549
  6. Step 6: Final answer
    x = 11,209.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.