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Finding the Third Proportional to 6,190.50 and 13,515.50

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Solution

The third proportional to 6,190.50 and 13,515.50 is: 29,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.50 : 13,515.50 = 13,515.50 : x
  2. Step 2: Convert to fraction form
    6,190.50/13,515.50 = 13,515.50/x
  3. Step 3: Cross multiply
    6,190.50x = 13,515.50 × 13,515.50
  4. Step 4: Simplify right side
    6,190.50x = 182,668,740.25
  5. Step 5: Solve for x
    x = 182,668,740.25/6,190.50
  6. Step 6: Final answer
    x = 29,507.91

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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.