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Finding the Third Proportional to 3,607.94 and 7,499.38

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Solution

The third proportional to 3,607.94 and 7,499.38 is: 15,588.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.94 : 7,499.38 = 7,499.38 : x
  2. Step 2: Convert to fraction form
    3,607.94/7,499.38 = 7,499.38/x
  3. Step 3: Cross multiply
    3,607.94x = 7,499.38 × 7,499.38
  4. Step 4: Simplify right side
    3,607.94x = 56,240,625.39
  5. Step 5: Solve for x
    x = 56,240,625.39/3,607.94
  6. Step 6: Final answer
    x = 15,588.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.