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Finding the Third Proportional to 7,272.28 and 16,903.69

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Solution

The third proportional to 7,272.28 and 16,903.69 is: 39,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,272.28 : 16,903.69 = 16,903.69 : x
  2. Step 2: Convert to fraction form
    7,272.28/16,903.69 = 16,903.69/x
  3. Step 3: Cross multiply
    7,272.28x = 16,903.69 × 16,903.69
  4. Step 4: Simplify right side
    7,272.28x = 285,734,651.10
  5. Step 5: Solve for x
    x = 285,734,651.10/7,272.28
  6. Step 6: Final answer
    x = 39,290.92

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.