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Finding the Third Proportional to 4,576 and 9,436

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Solution

The third proportional to 4,576 and 9,436 is: 19,457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576 : 9,436 = 9,436 : x
  2. Step 2: Convert to fraction form
    4,576/9,436 = 9,436/x
  3. Step 3: Cross multiply
    4,576x = 9,436 × 9,436
  4. Step 4: Simplify right side
    4,576x = 89,038,096
  5. Step 5: Solve for x
    x = 89,038,096/4,576
  6. Step 6: Final answer
    x = 19,457.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.