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Finding the Third Proportional to 4,206.94 and 9,239.70

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Solution

The third proportional to 4,206.94 and 9,239.70 is: 20,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.94 : 9,239.70 = 9,239.70 : x
  2. Step 2: Convert to fraction form
    4,206.94/9,239.70 = 9,239.70/x
  3. Step 3: Cross multiply
    4,206.94x = 9,239.70 × 9,239.70
  4. Step 4: Simplify right side
    4,206.94x = 85,371,969.47
  5. Step 5: Solve for x
    x = 85,371,969.47/4,206.94
  6. Step 6: Final answer
    x = 20,293.14

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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.