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Finding the Third Proportional to 3,607.66 and 5,727.59

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Solution

The third proportional to 3,607.66 and 5,727.59 is: 9,093.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.66 : 5,727.59 = 5,727.59 : x
  2. Step 2: Convert to fraction form
    3,607.66/5,727.59 = 5,727.59/x
  3. Step 3: Cross multiply
    3,607.66x = 5,727.59 × 5,727.59
  4. Step 4: Simplify right side
    3,607.66x = 32,805,240.67
  5. Step 5: Solve for x
    x = 32,805,240.67/3,607.66
  6. Step 6: Final answer
    x = 9,093.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.