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Finding the Third Proportional to 5,713.50 and 11,143.50

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Solution

The third proportional to 5,713.50 and 11,143.50 is: 21,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.50 : 11,143.50 = 11,143.50 : x
  2. Step 2: Convert to fraction form
    5,713.50/11,143.50 = 11,143.50/x
  3. Step 3: Cross multiply
    5,713.50x = 11,143.50 × 11,143.50
  4. Step 4: Simplify right side
    5,713.50x = 124,177,592.25
  5. Step 5: Solve for x
    x = 124,177,592.25/5,713.50
  6. Step 6: Final answer
    x = 21,734.07

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.