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Finding the Third Proportional to 4,758.50 and 10,141

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Solution

The third proportional to 4,758.50 and 10,141 is: 21,611.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.50 : 10,141 = 10,141 : x
  2. Step 2: Convert to fraction form
    4,758.50/10,141 = 10,141/x
  3. Step 3: Cross multiply
    4,758.50x = 10,141 × 10,141
  4. Step 4: Simplify right side
    4,758.50x = 102,839,881
  5. Step 5: Solve for x
    x = 102,839,881/4,758.50
  6. Step 6: Final answer
    x = 21,611.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.