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Finding the Third Proportional to 4,908.94 and 7,347.38

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Solution

The third proportional to 4,908.94 and 7,347.38 is: 10,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908.94 : 7,347.38 = 7,347.38 : x
  2. Step 2: Convert to fraction form
    4,908.94/7,347.38 = 7,347.38/x
  3. Step 3: Cross multiply
    4,908.94x = 7,347.38 × 7,347.38
  4. Step 4: Simplify right side
    4,908.94x = 53,983,919.39
  5. Step 5: Solve for x
    x = 53,983,919.39/4,908.94
  6. Step 6: Final answer
    x = 10,997.07

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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.