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Finding the Third Proportional to 3,207.94 and 7,047.84

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Solution

The third proportional to 3,207.94 and 7,047.84 is: 15,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.94 : 7,047.84 = 7,047.84 : x
  2. Step 2: Convert to fraction form
    3,207.94/7,047.84 = 7,047.84/x
  3. Step 3: Cross multiply
    3,207.94x = 7,047.84 × 7,047.84
  4. Step 4: Simplify right side
    3,207.94x = 49,672,101.52
  5. Step 5: Solve for x
    x = 49,672,101.52/3,207.94
  6. Step 6: Final answer
    x = 15,484.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.