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Finding the Third Proportional to 1,470.75 and 3,209.44

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Solution

The third proportional to 1,470.75 and 3,209.44 is: 7,003.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.75 : 3,209.44 = 3,209.44 : x
  2. Step 2: Convert to fraction form
    1,470.75/3,209.44 = 3,209.44/x
  3. Step 3: Cross multiply
    1,470.75x = 3,209.44 × 3,209.44
  4. Step 4: Simplify right side
    1,470.75x = 10,300,489.07
  5. Step 5: Solve for x
    x = 10,300,489.07/1,470.75
  6. Step 6: Final answer
    x = 7,003.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.