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Finding the Third Proportional to 2,976.43 and 4,709.07

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Solution

The third proportional to 2,976.43 and 4,709.07 is: 7,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.43 : 4,709.07 = 4,709.07 : x
  2. Step 2: Convert to fraction form
    2,976.43/4,709.07 = 4,709.07/x
  3. Step 3: Cross multiply
    2,976.43x = 4,709.07 × 4,709.07
  4. Step 4: Simplify right side
    2,976.43x = 22,175,380.00
  5. Step 5: Solve for x
    x = 22,175,380.00/2,976.43
  6. Step 6: Final answer
    x = 7,450.32

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.