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Finding the Third Proportional to 4,153.50 and 5,838.75

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Solution

The third proportional to 4,153.50 and 5,838.75 is: 8,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.50 : 5,838.75 = 5,838.75 : x
  2. Step 2: Convert to fraction form
    4,153.50/5,838.75 = 5,838.75/x
  3. Step 3: Cross multiply
    4,153.50x = 5,838.75 × 5,838.75
  4. Step 4: Simplify right side
    4,153.50x = 34,091,001.56
  5. Step 5: Solve for x
    x = 34,091,001.56/4,153.50
  6. Step 6: Final answer
    x = 8,207.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.