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Finding the Third Proportional to 801.75 and 1,721.06

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Solution

The third proportional to 801.75 and 1,721.06 is: 3,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.75 : 1,721.06 = 1,721.06 : x
  2. Step 2: Convert to fraction form
    801.75/1,721.06 = 1,721.06/x
  3. Step 3: Cross multiply
    801.75x = 1,721.06 × 1,721.06
  4. Step 4: Simplify right side
    801.75x = 2,962,056.13
  5. Step 5: Solve for x
    x = 2,962,056.13/801.75
  6. Step 6: Final answer
    x = 3,694.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.