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Finding the Third Proportional to 2,072.81 and 4,347.56

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Solution

The third proportional to 2,072.81 and 4,347.56 is: 9,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.81 : 4,347.56 = 4,347.56 : x
  2. Step 2: Convert to fraction form
    2,072.81/4,347.56 = 4,347.56/x
  3. Step 3: Cross multiply
    2,072.81x = 4,347.56 × 4,347.56
  4. Step 4: Simplify right side
    2,072.81x = 18,901,299.69
  5. Step 5: Solve for x
    x = 18,901,299.69/2,072.81
  6. Step 6: Final answer
    x = 9,118.67

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.