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Finding the Third Proportional to 8,019 and 10,703

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Solution

The third proportional to 8,019 and 10,703 is: 14,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019 : 10,703 = 10,703 : x
  2. Step 2: Convert to fraction form
    8,019/10,703 = 10,703/x
  3. Step 3: Cross multiply
    8,019x = 10,703 × 10,703
  4. Step 4: Simplify right side
    8,019x = 114,554,209
  5. Step 5: Solve for x
    x = 114,554,209/8,019
  6. Step 6: Final answer
    x = 14,285.35

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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.