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Finding the Third Proportional to 4,732.80 and 7,424.79

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Solution

The third proportional to 4,732.80 and 7,424.79 is: 11,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.80 : 7,424.79 = 7,424.79 : x
  2. Step 2: Convert to fraction form
    4,732.80/7,424.79 = 7,424.79/x
  3. Step 3: Cross multiply
    4,732.80x = 7,424.79 × 7,424.79
  4. Step 4: Simplify right side
    4,732.80x = 55,127,492.62
  5. Step 5: Solve for x
    x = 55,127,492.62/4,732.80
  6. Step 6: Final answer
    x = 11,647.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.