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Finding the Third Proportional to 8,576 and 9,860

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Solution

The third proportional to 8,576 and 9,860 is: 11,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576 : 9,860 = 9,860 : x
  2. Step 2: Convert to fraction form
    8,576/9,860 = 9,860/x
  3. Step 3: Cross multiply
    8,576x = 9,860 × 9,860
  4. Step 4: Simplify right side
    8,576x = 97,219,600
  5. Step 5: Solve for x
    x = 97,219,600/8,576
  6. Step 6: Final answer
    x = 11,336.24

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.