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Finding the Third Proportional to 5,205.94 and 7,805.53

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Solution

The third proportional to 5,205.94 and 7,805.53 is: 11,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.94 : 7,805.53 = 7,805.53 : x
  2. Step 2: Convert to fraction form
    5,205.94/7,805.53 = 7,805.53/x
  3. Step 3: Cross multiply
    5,205.94x = 7,805.53 × 7,805.53
  4. Step 4: Simplify right side
    5,205.94x = 60,926,318.09
  5. Step 5: Solve for x
    x = 60,926,318.09/5,205.94
  6. Step 6: Final answer
    x = 11,703.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.