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Finding the Third Proportional to 6,711.50 and 14,576.50

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Solution

The third proportional to 6,711.50 and 14,576.50 is: 31,658.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.50 : 14,576.50 = 14,576.50 : x
  2. Step 2: Convert to fraction form
    6,711.50/14,576.50 = 14,576.50/x
  3. Step 3: Cross multiply
    6,711.50x = 14,576.50 × 14,576.50
  4. Step 4: Simplify right side
    6,711.50x = 212,474,352.25
  5. Step 5: Solve for x
    x = 212,474,352.25/6,711.50
  6. Step 6: Final answer
    x = 31,658.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.