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Finding the Third Proportional to 7,908.50 and 12,006.50

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Solution

The third proportional to 7,908.50 and 12,006.50 is: 18,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,908.50 : 12,006.50 = 12,006.50 : x
  2. Step 2: Convert to fraction form
    7,908.50/12,006.50 = 12,006.50/x
  3. Step 3: Cross multiply
    7,908.50x = 12,006.50 × 12,006.50
  4. Step 4: Simplify right side
    7,908.50x = 144,156,042.25
  5. Step 5: Solve for x
    x = 144,156,042.25/7,908.50
  6. Step 6: Final answer
    x = 18,227.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.