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Finding the Third Proportional to 9,006.75 and 12,612.38

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Solution

The third proportional to 9,006.75 and 12,612.38 is: 17,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.75 : 12,612.38 = 12,612.38 : x
  2. Step 2: Convert to fraction form
    9,006.75/12,612.38 = 12,612.38/x
  3. Step 3: Cross multiply
    9,006.75x = 12,612.38 × 12,612.38
  4. Step 4: Simplify right side
    9,006.75x = 159,072,003.14
  5. Step 5: Solve for x
    x = 159,072,003.14/9,006.75
  6. Step 6: Final answer
    x = 17,661.42

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.