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Finding the Third Proportional to 4,674.80 and 7,185.09

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Solution

The third proportional to 4,674.80 and 7,185.09 is: 11,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.80 : 7,185.09 = 7,185.09 : x
  2. Step 2: Convert to fraction form
    4,674.80/7,185.09 = 7,185.09/x
  3. Step 3: Cross multiply
    4,674.80x = 7,185.09 × 7,185.09
  4. Step 4: Simplify right side
    4,674.80x = 51,625,572.20
  5. Step 5: Solve for x
    x = 51,625,572.20/4,674.80
  6. Step 6: Final answer
    x = 11,043.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.