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Finding the Third Proportional to 7,006.50 and 12,825

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Solution

The third proportional to 7,006.50 and 12,825 is: 23,475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.50 : 12,825 = 12,825 : x
  2. Step 2: Convert to fraction form
    7,006.50/12,825 = 12,825/x
  3. Step 3: Cross multiply
    7,006.50x = 12,825 × 12,825
  4. Step 4: Simplify right side
    7,006.50x = 164,480,625
  5. Step 5: Solve for x
    x = 164,480,625/7,006.50
  6. Step 6: Final answer
    x = 23,475.43

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.