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Finding the Third Proportional to 6,180 and 7,516.50

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Solution

The third proportional to 6,180 and 7,516.50 is: 9,142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180 : 7,516.50 = 7,516.50 : x
  2. Step 2: Convert to fraction form
    6,180/7,516.50 = 7,516.50/x
  3. Step 3: Cross multiply
    6,180x = 7,516.50 × 7,516.50
  4. Step 4: Simplify right side
    6,180x = 56,497,772.25
  5. Step 5: Solve for x
    x = 56,497,772.25/6,180
  6. Step 6: Final answer
    x = 9,142.03

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.