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Finding the Third Proportional to 4,923.45 and 7,388.79

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Solution

The third proportional to 4,923.45 and 7,388.79 is: 11,088.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.45 : 7,388.79 = 7,388.79 : x
  2. Step 2: Convert to fraction form
    4,923.45/7,388.79 = 7,388.79/x
  3. Step 3: Cross multiply
    4,923.45x = 7,388.79 × 7,388.79
  4. Step 4: Simplify right side
    4,923.45x = 54,594,203.81
  5. Step 5: Solve for x
    x = 54,594,203.81/4,923.45
  6. Step 6: Final answer
    x = 11,088.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.