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Finding the Third Proportional to 3,257.99 and 7,113.45

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Solution

The third proportional to 3,257.99 and 7,113.45 is: 15,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.99 : 7,113.45 = 7,113.45 : x
  2. Step 2: Convert to fraction form
    3,257.99/7,113.45 = 7,113.45/x
  3. Step 3: Cross multiply
    3,257.99x = 7,113.45 × 7,113.45
  4. Step 4: Simplify right side
    3,257.99x = 50,601,104.21
  5. Step 5: Solve for x
    x = 50,601,104.21/3,257.99
  6. Step 6: Final answer
    x = 15,531.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.