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Finding the Third Proportional to 7,576 and 9,884

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Solution

The third proportional to 7,576 and 9,884 is: 12,895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576 : 9,884 = 9,884 : x
  2. Step 2: Convert to fraction form
    7,576/9,884 = 9,884/x
  3. Step 3: Cross multiply
    7,576x = 9,884 × 9,884
  4. Step 4: Simplify right side
    7,576x = 97,693,456
  5. Step 5: Solve for x
    x = 97,693,456/7,576
  6. Step 6: Final answer
    x = 12,895.12

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.