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Finding the Third Proportional to 807.84 and 1,744.59

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Solution

The third proportional to 807.84 and 1,744.59 is: 3,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.84 : 1,744.59 = 1,744.59 : x
  2. Step 2: Convert to fraction form
    807.84/1,744.59 = 1,744.59/x
  3. Step 3: Cross multiply
    807.84x = 1,744.59 × 1,744.59
  4. Step 4: Simplify right side
    807.84x = 3,043,607.35
  5. Step 5: Solve for x
    x = 3,043,607.35/807.84
  6. Step 6: Final answer
    x = 3,767.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.