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Finding the Third Proportional to 4,529.25 and 10,290.38

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Solution

The third proportional to 4,529.25 and 10,290.38 is: 23,379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,529.25 : 10,290.38 = 10,290.38 : x
  2. Step 2: Convert to fraction form
    4,529.25/10,290.38 = 10,290.38/x
  3. Step 3: Cross multiply
    4,529.25x = 10,290.38 × 10,290.38
  4. Step 4: Simplify right side
    4,529.25x = 105,891,817.64
  5. Step 5: Solve for x
    x = 105,891,817.64/4,529.25
  6. Step 6: Final answer
    x = 23,379.55

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.