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Finding the Third Proportional to 8,398 and 12,703

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Solution

The third proportional to 8,398 and 12,703 is: 19,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398 : 12,703 = 12,703 : x
  2. Step 2: Convert to fraction form
    8,398/12,703 = 12,703/x
  3. Step 3: Cross multiply
    8,398x = 12,703 × 12,703
  4. Step 4: Simplify right side
    8,398x = 161,366,209
  5. Step 5: Solve for x
    x = 161,366,209/8,398
  6. Step 6: Final answer
    x = 19,214.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.