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Finding the Third Proportional to 8,924.75 and 13,289.69

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Solution

The third proportional to 8,924.75 and 13,289.69 is: 19,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,924.75 : 13,289.69 = 13,289.69 : x
  2. Step 2: Convert to fraction form
    8,924.75/13,289.69 = 13,289.69/x
  3. Step 3: Cross multiply
    8,924.75x = 13,289.69 × 13,289.69
  4. Step 4: Simplify right side
    8,924.75x = 176,615,793.85
  5. Step 5: Solve for x
    x = 176,615,793.85/8,924.75
  6. Step 6: Final answer
    x = 19,789.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.