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Finding the Third Proportional to 4,763.81 and 7,732.69

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Solution

The third proportional to 4,763.81 and 7,732.69 is: 12,551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.81 : 7,732.69 = 7,732.69 : x
  2. Step 2: Convert to fraction form
    4,763.81/7,732.69 = 7,732.69/x
  3. Step 3: Cross multiply
    4,763.81x = 7,732.69 × 7,732.69
  4. Step 4: Simplify right side
    4,763.81x = 59,794,455.97
  5. Step 5: Solve for x
    x = 59,794,455.97/4,763.81
  6. Step 6: Final answer
    x = 12,551.81

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.