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Finding the Third Proportional to 8,302 and 12,713

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Solution

The third proportional to 8,302 and 12,713 is: 19,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302 : 12,713 = 12,713 : x
  2. Step 2: Convert to fraction form
    8,302/12,713 = 12,713/x
  3. Step 3: Cross multiply
    8,302x = 12,713 × 12,713
  4. Step 4: Simplify right side
    8,302x = 161,620,369
  5. Step 5: Solve for x
    x = 161,620,369/8,302
  6. Step 6: Final answer
    x = 19,467.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.