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Finding the Third Proportional to 9,289.69 and 20,253.80

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Solution

The third proportional to 9,289.69 and 20,253.80 is: 44,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.69 : 20,253.80 = 20,253.80 : x
  2. Step 2: Convert to fraction form
    9,289.69/20,253.80 = 20,253.80/x
  3. Step 3: Cross multiply
    9,289.69x = 20,253.80 × 20,253.80
  4. Step 4: Simplify right side
    9,289.69x = 410,216,287.85
  5. Step 5: Solve for x
    x = 410,216,287.85/9,289.69
  6. Step 6: Final answer
    x = 44,158.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.