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Finding the Third Proportional to 8,576 and 10,352

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Solution

The third proportional to 8,576 and 10,352 is: 12,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576 : 10,352 = 10,352 : x
  2. Step 2: Convert to fraction form
    8,576/10,352 = 10,352/x
  3. Step 3: Cross multiply
    8,576x = 10,352 × 10,352
  4. Step 4: Simplify right side
    8,576x = 107,163,904
  5. Step 5: Solve for x
    x = 107,163,904/8,576
  6. Step 6: Final answer
    x = 12,495.79

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.