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Finding the Third Proportional to 2,809.69 and 4,496.34

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Solution

The third proportional to 2,809.69 and 4,496.34 is: 7,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.69 : 4,496.34 = 4,496.34 : x
  2. Step 2: Convert to fraction form
    2,809.69/4,496.34 = 4,496.34/x
  3. Step 3: Cross multiply
    2,809.69x = 4,496.34 × 4,496.34
  4. Step 4: Simplify right side
    2,809.69x = 20,217,107.12
  5. Step 5: Solve for x
    x = 20,217,107.12/2,809.69
  6. Step 6: Final answer
    x = 7,195.50

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.