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Finding the Third Proportional to 9,576 and 12,702

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Solution

The third proportional to 9,576 and 12,702 is: 16,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576 : 12,702 = 12,702 : x
  2. Step 2: Convert to fraction form
    9,576/12,702 = 12,702/x
  3. Step 3: Cross multiply
    9,576x = 12,702 × 12,702
  4. Step 4: Simplify right side
    9,576x = 161,340,804
  5. Step 5: Solve for x
    x = 161,340,804/9,576
  6. Step 6: Final answer
    x = 16,848.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.