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Finding the Third Proportional to 4,732.73 and 10,325.11

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Solution

The third proportional to 4,732.73 and 10,325.11 is: 22,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.73 : 10,325.11 = 10,325.11 : x
  2. Step 2: Convert to fraction form
    4,732.73/10,325.11 = 10,325.11/x
  3. Step 3: Cross multiply
    4,732.73x = 10,325.11 × 10,325.11
  4. Step 4: Simplify right side
    4,732.73x = 106,607,883.61
  5. Step 5: Solve for x
    x = 106,607,883.61/4,732.73
  6. Step 6: Final answer
    x = 22,525.64

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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.