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Finding the Third Proportional to 3,952.69 and 4,674.94

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Solution

The third proportional to 3,952.69 and 4,674.94 is: 5,529.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.69 : 4,674.94 = 4,674.94 : x
  2. Step 2: Convert to fraction form
    3,952.69/4,674.94 = 4,674.94/x
  3. Step 3: Cross multiply
    3,952.69x = 4,674.94 × 4,674.94
  4. Step 4: Simplify right side
    3,952.69x = 21,855,040.63
  5. Step 5: Solve for x
    x = 21,855,040.63/3,952.69
  6. Step 6: Final answer
    x = 5,529.16

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.