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Finding the Third Proportional to 4,576 and 9,538

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Solution

The third proportional to 4,576 and 9,538 is: 19,880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576 : 9,538 = 9,538 : x
  2. Step 2: Convert to fraction form
    4,576/9,538 = 9,538/x
  3. Step 3: Cross multiply
    4,576x = 9,538 × 9,538
  4. Step 4: Simplify right side
    4,576x = 90,973,444
  5. Step 5: Solve for x
    x = 90,973,444/4,576
  6. Step 6: Final answer
    x = 19,880.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.