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Finding the Third Proportional to 5,664.94 and 7,266.38

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Solution

The third proportional to 5,664.94 and 7,266.38 is: 9,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.94 : 7,266.38 = 7,266.38 : x
  2. Step 2: Convert to fraction form
    5,664.94/7,266.38 = 7,266.38/x
  3. Step 3: Cross multiply
    5,664.94x = 7,266.38 × 7,266.38
  4. Step 4: Simplify right side
    5,664.94x = 52,800,205.64
  5. Step 5: Solve for x
    x = 52,800,205.64/5,664.94
  6. Step 6: Final answer
    x = 9,320.53

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.