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Finding the Third Proportional to 12,647.81 and 18,901.69

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Solution

The third proportional to 12,647.81 and 18,901.69 is: 28,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.81 : 18,901.69 = 18,901.69 : x
  2. Step 2: Convert to fraction form
    12,647.81/18,901.69 = 18,901.69/x
  3. Step 3: Cross multiply
    12,647.81x = 18,901.69 × 18,901.69
  4. Step 4: Simplify right side
    12,647.81x = 357,273,790.35
  5. Step 5: Solve for x
    x = 357,273,790.35/12,647.81
  6. Step 6: Final answer
    x = 28,247.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.